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Finding the Fourth Proportional to 9,892.64, 13,651.13 and 5,643.87

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Solution

The fourth proportional to 9,892.64, 13,651.13 and 5,643.87 is: 7,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.64 : 13,651.13 = 5,643.87 : x
  2. Step 2: Convert to fraction form
    9,892.64/13,651.13 = 5,643.87/x
  3. Step 3: Cross multiply
    9,892.64x = 13,651.13 × 5,643.87
  4. Step 4: Simplify right side
    9,892.64x = 77,045,174.85
  5. Step 5: Solve for x
    x = 77,045,174.85/9,892.64
  6. Step 6: Final answer
    x = 7,788.13

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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.