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Finding the Fourth Proportional to 7,781.47, 10,737.87 and 4,244.60

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Solution

The fourth proportional to 7,781.47, 10,737.87 and 4,244.60 is: 5,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.47 : 10,737.87 = 4,244.60 : x
  2. Step 2: Convert to fraction form
    7,781.47/10,737.87 = 4,244.60/x
  3. Step 3: Cross multiply
    7,781.47x = 10,737.87 × 4,244.60
  4. Step 4: Simplify right side
    7,781.47x = 45,577,973.93
  5. Step 5: Solve for x
    x = 45,577,973.93/7,781.47
  6. Step 6: Final answer
    x = 5,857.25

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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.