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Finding the Fourth Proportional to 5,486.61, 7,520.73 and 5,412.78

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Solution

The fourth proportional to 5,486.61, 7,520.73 and 5,412.78 is: 7,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.61 : 7,520.73 = 5,412.78 : x
  2. Step 2: Convert to fraction form
    5,486.61/7,520.73 = 5,412.78/x
  3. Step 3: Cross multiply
    5,486.61x = 7,520.73 × 5,412.78
  4. Step 4: Simplify right side
    5,486.61x = 40,708,056.93
  5. Step 5: Solve for x
    x = 40,708,056.93/5,486.61
  6. Step 6: Final answer
    x = 7,419.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.