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Finding the Fourth Proportional to 11,862.68, 16,370.48 and 7,147.86

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Solution

The fourth proportional to 11,862.68, 16,370.48 and 7,147.86 is: 9,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.68 : 16,370.48 = 7,147.86 : x
  2. Step 2: Convert to fraction form
    11,862.68/16,370.48 = 7,147.86/x
  3. Step 3: Cross multiply
    11,862.68x = 16,370.48 × 7,147.86
  4. Step 4: Simplify right side
    11,862.68x = 117,013,899.17
  5. Step 5: Solve for x
    x = 117,013,899.17/11,862.68
  6. Step 6: Final answer
    x = 9,864.04

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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.