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Finding the Fourth Proportional to 18,342.50, 25,312.68 and 9,959

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Solution

The fourth proportional to 18,342.50, 25,312.68 and 9,959 is: 13,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342.50 : 25,312.68 = 9,959 : x
  2. Step 2: Convert to fraction form
    18,342.50/25,312.68 = 9,959/x
  3. Step 3: Cross multiply
    18,342.50x = 25,312.68 × 9,959
  4. Step 4: Simplify right side
    18,342.50x = 252,088,980.12
  5. Step 5: Solve for x
    x = 252,088,980.12/18,342.50
  6. Step 6: Final answer
    x = 13,743.44

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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.