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Finding the Fourth Proportional to 9,167.95, 12,642.38 and 8,156.47

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Solution

The fourth proportional to 9,167.95, 12,642.38 and 8,156.47 is: 11,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.95 : 12,642.38 = 8,156.47 : x
  2. Step 2: Convert to fraction form
    9,167.95/12,642.38 = 8,156.47/x
  3. Step 3: Cross multiply
    9,167.95x = 12,642.38 × 8,156.47
  4. Step 4: Simplify right side
    9,167.95x = 103,117,089.20
  5. Step 5: Solve for x
    x = 103,117,089.20/9,167.95
  6. Step 6: Final answer
    x = 11,247.57

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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.