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Finding the Fourth Proportional to 5,702.86, 7,870.17 and 3,280.22

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Solution

The fourth proportional to 5,702.86, 7,870.17 and 3,280.22 is: 4,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.86 : 7,870.17 = 3,280.22 : x
  2. Step 2: Convert to fraction form
    5,702.86/7,870.17 = 3,280.22/x
  3. Step 3: Cross multiply
    5,702.86x = 7,870.17 × 3,280.22
  4. Step 4: Simplify right side
    5,702.86x = 25,815,897.24
  5. Step 5: Solve for x
    x = 25,815,897.24/5,702.86
  6. Step 6: Final answer
    x = 4,526.83

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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.