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Finding the Fourth Proportional to 12,917.56, 17,854.68 and 9,405.40

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Solution

The fourth proportional to 12,917.56, 17,854.68 and 9,405.40 is: 13,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.56 : 17,854.68 = 9,405.40 : x
  2. Step 2: Convert to fraction form
    12,917.56/17,854.68 = 9,405.40/x
  3. Step 3: Cross multiply
    12,917.56x = 17,854.68 × 9,405.40
  4. Step 4: Simplify right side
    12,917.56x = 167,930,407.27
  5. Step 5: Solve for x
    x = 167,930,407.27/12,917.56
  6. Step 6: Final answer
    x = 13,000.16

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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.