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Finding the Fourth Proportional to 4,763.71, 7,139.42 and 4,109.66

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Solution

The fourth proportional to 4,763.71, 7,139.42 and 4,109.66 is: 6,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.71 : 7,139.42 = 4,109.66 : x
  2. Step 2: Convert to fraction form
    4,763.71/7,139.42 = 4,109.66/x
  3. Step 3: Cross multiply
    4,763.71x = 7,139.42 × 4,109.66
  4. Step 4: Simplify right side
    4,763.71x = 29,340,583.26
  5. Step 5: Solve for x
    x = 29,340,583.26/4,763.71
  6. Step 6: Final answer
    x = 6,159.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.