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Finding the Fourth Proportional to 7,614.56, 10,507.76 and 4,257.76

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Solution

The fourth proportional to 7,614.56, 10,507.76 and 4,257.76 is: 5,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.56 : 10,507.76 = 4,257.76 : x
  2. Step 2: Convert to fraction form
    7,614.56/10,507.76 = 4,257.76/x
  3. Step 3: Cross multiply
    7,614.56x = 10,507.76 × 4,257.76
  4. Step 4: Simplify right side
    7,614.56x = 44,739,520.22
  5. Step 5: Solve for x
    x = 44,739,520.22/7,614.56
  6. Step 6: Final answer
    x = 5,875.52

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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.