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Finding the Fourth Proportional to 14,587.88, 21,882.72 and 9,905.90

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Solution

The fourth proportional to 14,587.88, 21,882.72 and 9,905.90 is: 14,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.88 : 21,882.72 = 9,905.90 : x
  2. Step 2: Convert to fraction form
    14,587.88/21,882.72 = 9,905.90/x
  3. Step 3: Cross multiply
    14,587.88x = 21,882.72 × 9,905.90
  4. Step 4: Simplify right side
    14,587.88x = 216,768,036.05
  5. Step 5: Solve for x
    x = 216,768,036.05/14,587.88
  6. Step 6: Final answer
    x = 14,859.46

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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.