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Finding the Fourth Proportional to 8,761.64, 12,090.53 and 4,781.94

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Solution

The fourth proportional to 8,761.64, 12,090.53 and 4,781.94 is: 6,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.64 : 12,090.53 = 4,781.94 : x
  2. Step 2: Convert to fraction form
    8,761.64/12,090.53 = 4,781.94/x
  3. Step 3: Cross multiply
    8,761.64x = 12,090.53 × 4,781.94
  4. Step 4: Simplify right side
    8,761.64x = 57,816,165.12
  5. Step 5: Solve for x
    x = 57,816,165.12/8,761.64
  6. Step 6: Final answer
    x = 6,598.79

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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.