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Finding the Fourth Proportional to 10,860.95, 14,989.38 and 6,614.50

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Solution

The fourth proportional to 10,860.95, 14,989.38 and 6,614.50 is: 9,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,860.95 : 14,989.38 = 6,614.50 : x
  2. Step 2: Convert to fraction form
    10,860.95/14,989.38 = 6,614.50/x
  3. Step 3: Cross multiply
    10,860.95x = 14,989.38 × 6,614.50
  4. Step 4: Simplify right side
    10,860.95x = 99,147,301.68
  5. Step 5: Solve for x
    x = 99,147,301.68/10,860.95
  6. Step 6: Final answer
    x = 9,128.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.