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Finding the Fourth Proportional to 9,132.64, 13,700.10 and 2,891.02

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Solution

The fourth proportional to 9,132.64, 13,700.10 and 2,891.02 is: 4,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.64 : 13,700.10 = 2,891.02 : x
  2. Step 2: Convert to fraction form
    9,132.64/13,700.10 = 2,891.02/x
  3. Step 3: Cross multiply
    9,132.64x = 13,700.10 × 2,891.02
  4. Step 4: Simplify right side
    9,132.64x = 39,607,263.10
  5. Step 5: Solve for x
    x = 39,607,263.10/9,132.64
  6. Step 6: Final answer
    x = 4,336.89

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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.