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Finding the Fourth Proportional to 10,124.24, 13,978.12 and 6,540.80

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Solution

The fourth proportional to 10,124.24, 13,978.12 and 6,540.80 is: 9,030.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.24 : 13,978.12 = 6,540.80 : x
  2. Step 2: Convert to fraction form
    10,124.24/13,978.12 = 6,540.80/x
  3. Step 3: Cross multiply
    10,124.24x = 13,978.12 × 6,540.80
  4. Step 4: Simplify right side
    10,124.24x = 91,428,087.30
  5. Step 5: Solve for x
    x = 91,428,087.30/10,124.24
  6. Step 6: Final answer
    x = 9,030.61

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1.5x scale

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.