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Finding the Fourth Proportional to 10,103.32, 13,942.88 and 5,566.16

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Solution

The fourth proportional to 10,103.32, 13,942.88 and 5,566.16 is: 7,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.32 : 13,942.88 = 5,566.16 : x
  2. Step 2: Convert to fraction form
    10,103.32/13,942.88 = 5,566.16/x
  3. Step 3: Cross multiply
    10,103.32x = 13,942.88 × 5,566.16
  4. Step 4: Simplify right side
    10,103.32x = 77,608,300.94
  5. Step 5: Solve for x
    x = 77,608,300.94/10,103.32
  6. Step 6: Final answer
    x = 7,681.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.