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Finding the Fourth Proportional to 19,277.59, 28,896.69 and 10,940

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Solution

The fourth proportional to 19,277.59, 28,896.69 and 10,940 is: 16,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,277.59 : 28,896.69 = 10,940 : x
  2. Step 2: Convert to fraction form
    19,277.59/28,896.69 = 10,940/x
  3. Step 3: Cross multiply
    19,277.59x = 28,896.69 × 10,940
  4. Step 4: Simplify right side
    19,277.59x = 316,129,788.60
  5. Step 5: Solve for x
    x = 316,129,788.60/19,277.59
  6. Step 6: Final answer
    x = 16,398.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.