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Finding the Fourth Proportional to 7,612.68, 10,505.34 and 4,255.40

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Solution

The fourth proportional to 7,612.68, 10,505.34 and 4,255.40 is: 5,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.68 : 10,505.34 = 4,255.40 : x
  2. Step 2: Convert to fraction form
    7,612.68/10,505.34 = 4,255.40/x
  3. Step 3: Cross multiply
    7,612.68x = 10,505.34 × 4,255.40
  4. Step 4: Simplify right side
    7,612.68x = 44,704,423.84
  5. Step 5: Solve for x
    x = 44,704,423.84/7,612.68
  6. Step 6: Final answer
    x = 5,872.36

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Half scale
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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.