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Finding the Fourth Proportional to 4,478.52, 6,709.68 and 4,215

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Solution

The fourth proportional to 4,478.52, 6,709.68 and 4,215 is: 6,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.52 : 6,709.68 = 4,215 : x
  2. Step 2: Convert to fraction form
    4,478.52/6,709.68 = 4,215/x
  3. Step 3: Cross multiply
    4,478.52x = 6,709.68 × 4,215
  4. Step 4: Simplify right side
    4,478.52x = 28,281,301.20
  5. Step 5: Solve for x
    x = 28,281,301.20/4,478.52
  6. Step 6: Final answer
    x = 6,314.88

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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.