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Finding the Fourth Proportional to 24,440, 36,659.20 and 6,909.80

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Solution

The fourth proportional to 24,440, 36,659.20 and 6,909.80 is: 10,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,440 : 36,659.20 = 6,909.80 : x
  2. Step 2: Convert to fraction form
    24,440/36,659.20 = 6,909.80/x
  3. Step 3: Cross multiply
    24,440x = 36,659.20 × 6,909.80
  4. Step 4: Simplify right side
    24,440x = 253,307,740.16
  5. Step 5: Solve for x
    x = 253,307,740.16/24,440
  6. Step 6: Final answer
    x = 10,364.47

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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.