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Finding the Fourth Proportional to 4,337.08, 6,509 and 2,947

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Solution

The fourth proportional to 4,337.08, 6,509 and 2,947 is: 4,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.08 : 6,509 = 2,947 : x
  2. Step 2: Convert to fraction form
    4,337.08/6,509 = 2,947/x
  3. Step 3: Cross multiply
    4,337.08x = 6,509 × 2,947
  4. Step 4: Simplify right side
    4,337.08x = 19,182,023
  5. Step 5: Solve for x
    x = 19,182,023/4,337.08
  6. Step 6: Final answer
    x = 4,422.80

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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.