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Finding the Fourth Proportional to 10,893.28, 15,024 and 7,116.16

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Solution

The fourth proportional to 10,893.28, 15,024 and 7,116.16 is: 9,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.28 : 15,024 = 7,116.16 : x
  2. Step 2: Convert to fraction form
    10,893.28/15,024 = 7,116.16/x
  3. Step 3: Cross multiply
    10,893.28x = 15,024 × 7,116.16
  4. Step 4: Simplify right side
    10,893.28x = 106,913,187.84
  5. Step 5: Solve for x
    x = 106,913,187.84/10,893.28
  6. Step 6: Final answer
    x = 9,814.60

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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.