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Finding the Fourth Proportional to 9,978.59, 14,972.94 and 6,649.11

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Solution

The fourth proportional to 9,978.59, 14,972.94 and 6,649.11 is: 9,977.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.59 : 14,972.94 = 6,649.11 : x
  2. Step 2: Convert to fraction form
    9,978.59/14,972.94 = 6,649.11/x
  3. Step 3: Cross multiply
    9,978.59x = 14,972.94 × 6,649.11
  4. Step 4: Simplify right side
    9,978.59x = 99,556,725.08
  5. Step 5: Solve for x
    x = 99,556,725.08/9,978.59
  6. Step 6: Final answer
    x = 9,977.04

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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.