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Finding the Fourth Proportional to 4,381.76, 6,578.40 and 4,019.52

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Solution

The fourth proportional to 4,381.76, 6,578.40 and 4,019.52 is: 6,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.76 : 6,578.40 = 4,019.52 : x
  2. Step 2: Convert to fraction form
    4,381.76/6,578.40 = 4,019.52/x
  3. Step 3: Cross multiply
    4,381.76x = 6,578.40 × 4,019.52
  4. Step 4: Simplify right side
    4,381.76x = 26,442,010.37
  5. Step 5: Solve for x
    x = 26,442,010.37/4,381.76
  6. Step 6: Final answer
    x = 6,034.56

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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.