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Finding the Fourth Proportional to 10,097.52, 13,934.44 and 5,621.20

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Solution

The fourth proportional to 10,097.52, 13,934.44 and 5,621.20 is: 7,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.52 : 13,934.44 = 5,621.20 : x
  2. Step 2: Convert to fraction form
    10,097.52/13,934.44 = 5,621.20/x
  3. Step 3: Cross multiply
    10,097.52x = 13,934.44 × 5,621.20
  4. Step 4: Simplify right side
    10,097.52x = 78,328,274.13
  5. Step 5: Solve for x
    x = 78,328,274.13/10,097.52
  6. Step 6: Final answer
    x = 7,757.18

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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.