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Finding the Fourth Proportional to 10,490.47, 15,736.76 and 3,470.50

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Solution

The fourth proportional to 10,490.47, 15,736.76 and 3,470.50 is: 5,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.47 : 15,736.76 = 3,470.50 : x
  2. Step 2: Convert to fraction form
    10,490.47/15,736.76 = 3,470.50/x
  3. Step 3: Cross multiply
    10,490.47x = 15,736.76 × 3,470.50
  4. Step 4: Simplify right side
    10,490.47x = 54,614,425.58
  5. Step 5: Solve for x
    x = 54,614,425.58/10,490.47
  6. Step 6: Final answer
    x = 5,206.10

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