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Finding the Fourth Proportional to 22,312.59, 30,790.29 and 12,884.19

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Solution

The fourth proportional to 22,312.59, 30,790.29 and 12,884.19 is: 17,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312.59 : 30,790.29 = 12,884.19 : x
  2. Step 2: Convert to fraction form
    22,312.59/30,790.29 = 12,884.19/x
  3. Step 3: Cross multiply
    22,312.59x = 30,790.29 × 12,884.19
  4. Step 4: Simplify right side
    22,312.59x = 396,707,946.52
  5. Step 5: Solve for x
    x = 396,707,946.52/22,312.59
  6. Step 6: Final answer
    x = 17,779.56

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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.