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Finding the Fourth Proportional to 4,677.89, 7,008.54 and 3,902.87

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Solution

The fourth proportional to 4,677.89, 7,008.54 and 3,902.87 is: 5,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.89 : 7,008.54 = 3,902.87 : x
  2. Step 2: Convert to fraction form
    4,677.89/7,008.54 = 3,902.87/x
  3. Step 3: Cross multiply
    4,677.89x = 7,008.54 × 3,902.87
  4. Step 4: Simplify right side
    4,677.89x = 27,353,385.47
  5. Step 5: Solve for x
    x = 27,353,385.47/4,677.89
  6. Step 6: Final answer
    x = 5,847.38

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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.