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Finding the Fourth Proportional to 4,978.38, 6,869.70 and 3,381.78

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Solution

The fourth proportional to 4,978.38, 6,869.70 and 3,381.78 is: 4,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.38 : 6,869.70 = 3,381.78 : x
  2. Step 2: Convert to fraction form
    4,978.38/6,869.70 = 3,381.78/x
  3. Step 3: Cross multiply
    4,978.38x = 6,869.70 × 3,381.78
  4. Step 4: Simplify right side
    4,978.38x = 23,231,814.07
  5. Step 5: Solve for x
    x = 23,231,814.07/4,978.38
  6. Step 6: Final answer
    x = 4,666.54

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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.