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Finding the Fourth Proportional to 7,750.62, 10,695.75 and 4,213.74

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Solution

The fourth proportional to 7,750.62, 10,695.75 and 4,213.74 is: 5,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.62 : 10,695.75 = 4,213.74 : x
  2. Step 2: Convert to fraction form
    7,750.62/10,695.75 = 4,213.74/x
  3. Step 3: Cross multiply
    7,750.62x = 10,695.75 × 4,213.74
  4. Step 4: Simplify right side
    7,750.62x = 45,069,109.61
  5. Step 5: Solve for x
    x = 45,069,109.61/7,750.62
  6. Step 6: Final answer
    x = 5,814.90

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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.