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Finding the Fourth Proportional to 14,339, 21,515.80 and 6,549.64

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Solution

The fourth proportional to 14,339, 21,515.80 and 6,549.64 is: 9,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,339 : 21,515.80 = 6,549.64 : x
  2. Step 2: Convert to fraction form
    14,339/21,515.80 = 6,549.64/x
  3. Step 3: Cross multiply
    14,339x = 21,515.80 × 6,549.64
  4. Step 4: Simplify right side
    14,339x = 140,920,744.31
  5. Step 5: Solve for x
    x = 140,920,744.31/14,339
  6. Step 6: Final answer
    x = 9,827.79

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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.