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Finding the Fourth Proportional to 7,500.78, 11,242.42 and 5,645.93

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Solution

The fourth proportional to 7,500.78, 11,242.42 and 5,645.93 is: 8,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500.78 : 11,242.42 = 5,645.93 : x
  2. Step 2: Convert to fraction form
    7,500.78/11,242.42 = 5,645.93/x
  3. Step 3: Cross multiply
    7,500.78x = 11,242.42 × 5,645.93
  4. Step 4: Simplify right side
    7,500.78x = 63,473,846.02
  5. Step 5: Solve for x
    x = 63,473,846.02/7,500.78
  6. Step 6: Final answer
    x = 8,462.30

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1.5x scale

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.