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Finding the Fourth Proportional to 14,537, 21,805.72 and 4,148.76

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Solution

The fourth proportional to 14,537, 21,805.72 and 4,148.76 is: 6,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537 : 21,805.72 = 4,148.76 : x
  2. Step 2: Convert to fraction form
    14,537/21,805.72 = 4,148.76/x
  3. Step 3: Cross multiply
    14,537x = 21,805.72 × 4,148.76
  4. Step 4: Simplify right side
    14,537x = 90,466,698.91
  5. Step 5: Solve for x
    x = 90,466,698.91/14,537
  6. Step 6: Final answer
    x = 6,223.20

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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.