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Finding the Fourth Proportional to 6,537.40, 9,789.90 and 5,241.40

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Solution

The fourth proportional to 6,537.40, 9,789.90 and 5,241.40 is: 7,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.40 : 9,789.90 = 5,241.40 : x
  2. Step 2: Convert to fraction form
    6,537.40/9,789.90 = 5,241.40/x
  3. Step 3: Cross multiply
    6,537.40x = 9,789.90 × 5,241.40
  4. Step 4: Simplify right side
    6,537.40x = 51,312,781.86
  5. Step 5: Solve for x
    x = 51,312,781.86/6,537.40
  6. Step 6: Final answer
    x = 7,849.11

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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.