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Finding the Fourth Proportional to 5,191.57, 7,815.07 and 4,655.75

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Solution

The fourth proportional to 5,191.57, 7,815.07 and 4,655.75 is: 7,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.57 : 7,815.07 = 4,655.75 : x
  2. Step 2: Convert to fraction form
    5,191.57/7,815.07 = 4,655.75/x
  3. Step 3: Cross multiply
    5,191.57x = 7,815.07 × 4,655.75
  4. Step 4: Simplify right side
    5,191.57x = 36,385,012.15
  5. Step 5: Solve for x
    x = 36,385,012.15/5,191.57
  6. Step 6: Final answer
    x = 7,008.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.