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Finding the Fourth Proportional to 10,920.75, 15,070.65 and 5,952.75

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Solution

The fourth proportional to 10,920.75, 15,070.65 and 5,952.75 is: 8,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.75 : 15,070.65 = 5,952.75 : x
  2. Step 2: Convert to fraction form
    10,920.75/15,070.65 = 5,952.75/x
  3. Step 3: Cross multiply
    10,920.75x = 15,070.65 × 5,952.75
  4. Step 4: Simplify right side
    10,920.75x = 89,711,811.79
  5. Step 5: Solve for x
    x = 89,711,811.79/10,920.75
  6. Step 6: Final answer
    x = 8,214.80

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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.