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Finding the Fourth Proportional to 3,782.76, 5,210.40 and 3,184.52

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Solution

The fourth proportional to 3,782.76, 5,210.40 and 3,184.52 is: 4,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.76 : 5,210.40 = 3,184.52 : x
  2. Step 2: Convert to fraction form
    3,782.76/5,210.40 = 3,184.52/x
  3. Step 3: Cross multiply
    3,782.76x = 5,210.40 × 3,184.52
  4. Step 4: Simplify right side
    3,782.76x = 16,592,623.01
  5. Step 5: Solve for x
    x = 16,592,623.01/3,782.76
  6. Step 6: Final answer
    x = 4,386.38

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Find fourth proportional to 1,891.38, 2,605.20 and 1,592.26
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.