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Finding the Fourth Proportional to 10,470.16, 15,665.46 and 6,453.16

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Solution

The fourth proportional to 10,470.16, 15,665.46 and 6,453.16 is: 9,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.16 : 15,665.46 = 6,453.16 : x
  2. Step 2: Convert to fraction form
    10,470.16/15,665.46 = 6,453.16/x
  3. Step 3: Cross multiply
    10,470.16x = 15,665.46 × 6,453.16
  4. Step 4: Simplify right side
    10,470.16x = 101,091,719.85
  5. Step 5: Solve for x
    x = 101,091,719.85/10,470.16
  6. Step 6: Final answer
    x = 9,655.22

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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.