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Finding the Fourth Proportional to 18,861.52, 26,029.68 and 10,478

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Solution

The fourth proportional to 18,861.52, 26,029.68 and 10,478 is: 14,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,861.52 : 26,029.68 = 10,478 : x
  2. Step 2: Convert to fraction form
    18,861.52/26,029.68 = 10,478/x
  3. Step 3: Cross multiply
    18,861.52x = 26,029.68 × 10,478
  4. Step 4: Simplify right side
    18,861.52x = 272,738,987.04
  5. Step 5: Solve for x
    x = 272,738,987.04/18,861.52
  6. Step 6: Final answer
    x = 14,460.07

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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.