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Finding the Fourth Proportional to 5,623.68, 8,437.68 and 2,702.88

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Solution

The fourth proportional to 5,623.68, 8,437.68 and 2,702.88 is: 4,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.68 : 8,437.68 = 2,702.88 : x
  2. Step 2: Convert to fraction form
    5,623.68/8,437.68 = 2,702.88/x
  3. Step 3: Cross multiply
    5,623.68x = 8,437.68 × 2,702.88
  4. Step 4: Simplify right side
    5,623.68x = 22,806,036.52
  5. Step 5: Solve for x
    x = 22,806,036.52/5,623.68
  6. Step 6: Final answer
    x = 4,055.36

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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.