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Finding the Fourth Proportional to 5,702.24, 7,868.72 and 3,217.76

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Solution

The fourth proportional to 5,702.24, 7,868.72 and 3,217.76 is: 4,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.24 : 7,868.72 = 3,217.76 : x
  2. Step 2: Convert to fraction form
    5,702.24/7,868.72 = 3,217.76/x
  3. Step 3: Cross multiply
    5,702.24x = 7,868.72 × 3,217.76
  4. Step 4: Simplify right side
    5,702.24x = 25,319,652.47
  5. Step 5: Solve for x
    x = 25,319,652.47/5,702.24
  6. Step 6: Final answer
    x = 4,440.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.