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Finding the Fourth Proportional to 14,658.90, 21,981.06 and 7,635

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Solution

The fourth proportional to 14,658.90, 21,981.06 and 7,635 is: 11,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.90 : 21,981.06 = 7,635 : x
  2. Step 2: Convert to fraction form
    14,658.90/21,981.06 = 7,635/x
  3. Step 3: Cross multiply
    14,658.90x = 21,981.06 × 7,635
  4. Step 4: Simplify right side
    14,658.90x = 167,825,393.10
  5. Step 5: Solve for x
    x = 167,825,393.10/14,658.90
  6. Step 6: Final answer
    x = 11,448.70

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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.