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Finding the Fourth Proportional to 12,938.10, 17,854.34 and 8,157.08

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Solution

The fourth proportional to 12,938.10, 17,854.34 and 8,157.08 is: 11,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.10 : 17,854.34 = 8,157.08 : x
  2. Step 2: Convert to fraction form
    12,938.10/17,854.34 = 8,157.08/x
  3. Step 3: Cross multiply
    12,938.10x = 17,854.34 × 8,157.08
  4. Step 4: Simplify right side
    12,938.10x = 145,639,149.67
  5. Step 5: Solve for x
    x = 145,639,149.67/12,938.10
  6. Step 6: Final answer
    x = 11,256.61

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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.