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Finding the Fourth Proportional to 6,587.40, 9,796.32 and 6,379.74

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Solution

The fourth proportional to 6,587.40, 9,796.32 and 6,379.74 is: 9,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.40 : 9,796.32 = 6,379.74 : x
  2. Step 2: Convert to fraction form
    6,587.40/9,796.32 = 6,379.74/x
  3. Step 3: Cross multiply
    6,587.40x = 9,796.32 × 6,379.74
  4. Step 4: Simplify right side
    6,587.40x = 62,497,974.56
  5. Step 5: Solve for x
    x = 62,497,974.56/6,587.40
  6. Step 6: Final answer
    x = 9,487.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.