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Finding the Fourth Proportional to 12,854, 17,753.10 and 8,654.96

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Solution

The fourth proportional to 12,854, 17,753.10 and 8,654.96 is: 11,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854 : 17,753.10 = 8,654.96 : x
  2. Step 2: Convert to fraction form
    12,854/17,753.10 = 8,654.96/x
  3. Step 3: Cross multiply
    12,854x = 17,753.10 × 8,654.96
  4. Step 4: Simplify right side
    12,854x = 153,652,370.38
  5. Step 5: Solve for x
    x = 153,652,370.38/12,854
  6. Step 6: Final answer
    x = 11,953.66

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1.5x scale

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.