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Finding the Fourth Proportional to 5,702.90, 7,870.82 and 4,114.80

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Solution

The fourth proportional to 5,702.90, 7,870.82 and 4,114.80 is: 5,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.90 : 7,870.82 = 4,114.80 : x
  2. Step 2: Convert to fraction form
    5,702.90/7,870.82 = 4,114.80/x
  3. Step 3: Cross multiply
    5,702.90x = 7,870.82 × 4,114.80
  4. Step 4: Simplify right side
    5,702.90x = 32,386,829.56
  5. Step 5: Solve for x
    x = 32,386,829.56/5,702.90
  6. Step 6: Final answer
    x = 5,679.02

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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.