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Finding the Fourth Proportional to 5,691.80, 8,537.70 and 5,307.80

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Solution

The fourth proportional to 5,691.80, 8,537.70 and 5,307.80 is: 7,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.80 : 8,537.70 = 5,307.80 : x
  2. Step 2: Convert to fraction form
    5,691.80/8,537.70 = 5,307.80/x
  3. Step 3: Cross multiply
    5,691.80x = 8,537.70 × 5,307.80
  4. Step 4: Simplify right side
    5,691.80x = 45,316,404.06
  5. Step 5: Solve for x
    x = 45,316,404.06/5,691.80
  6. Step 6: Final answer
    x = 7,961.70

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1.5x scale

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.