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Finding the Fourth Proportional to 12,854, 17,739.16 and 7,265.52

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Solution

The fourth proportional to 12,854, 17,739.16 and 7,265.52 is: 10,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854 : 17,739.16 = 7,265.52 : x
  2. Step 2: Convert to fraction form
    12,854/17,739.16 = 7,265.52/x
  3. Step 3: Cross multiply
    12,854x = 17,739.16 × 7,265.52
  4. Step 4: Simplify right side
    12,854x = 128,884,221.76
  5. Step 5: Solve for x
    x = 128,884,221.76/12,854
  6. Step 6: Final answer
    x = 10,026.78

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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.