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Finding the Fourth Proportional to 14,607.86, 21,915.22 and 4,747.14

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Solution

The fourth proportional to 14,607.86, 21,915.22 and 4,747.14 is: 7,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,607.86 : 21,915.22 = 4,747.14 : x
  2. Step 2: Convert to fraction form
    14,607.86/21,915.22 = 4,747.14/x
  3. Step 3: Cross multiply
    14,607.86x = 21,915.22 × 4,747.14
  4. Step 4: Simplify right side
    14,607.86x = 104,034,574.95
  5. Step 5: Solve for x
    x = 104,034,574.95/14,607.86
  6. Step 6: Final answer
    x = 7,121.82

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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.