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Finding the Fourth Proportional to 21,488, 32,246.40 and 9,178.88

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Solution

The fourth proportional to 21,488, 32,246.40 and 9,178.88 is: 13,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488 : 32,246.40 = 9,178.88 : x
  2. Step 2: Convert to fraction form
    21,488/32,246.40 = 9,178.88/x
  3. Step 3: Cross multiply
    21,488x = 32,246.40 × 9,178.88
  4. Step 4: Simplify right side
    21,488x = 295,985,836.03
  5. Step 5: Solve for x
    x = 295,985,836.03/21,488
  6. Step 6: Final answer
    x = 13,774.47

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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.