Home / 4,577.35-6,864-1,456.78

Finding the Fourth Proportional to 4,577.35, 6,864 and 1,456.78

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Solution

The fourth proportional to 4,577.35, 6,864 and 1,456.78 is: 2,184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.35 : 6,864 = 1,456.78 : x
  2. Step 2: Convert to fraction form
    4,577.35/6,864 = 1,456.78/x
  3. Step 3: Cross multiply
    4,577.35x = 6,864 × 1,456.78
  4. Step 4: Simplify right side
    4,577.35x = 9,999,337.92
  5. Step 5: Solve for x
    x = 9,999,337.92/4,577.35
  6. Step 6: Final answer
    x = 2,184.53

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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.