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Finding the Fourth Proportional to 4,309.76, 5,946 and 2,630.72

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Solution

The fourth proportional to 4,309.76, 5,946 and 2,630.72 is: 3,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.76 : 5,946 = 2,630.72 : x
  2. Step 2: Convert to fraction form
    4,309.76/5,946 = 2,630.72/x
  3. Step 3: Cross multiply
    4,309.76x = 5,946 × 2,630.72
  4. Step 4: Simplify right side
    4,309.76x = 15,642,261.12
  5. Step 5: Solve for x
    x = 15,642,261.12/4,309.76
  6. Step 6: Final answer
    x = 3,629.50

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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.