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Finding the Fourth Proportional to 6,658.75, 9,987.85 and 1,978.57

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Solution

The fourth proportional to 6,658.75, 9,987.85 and 1,978.57 is: 2,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.75 : 9,987.85 = 1,978.57 : x
  2. Step 2: Convert to fraction form
    6,658.75/9,987.85 = 1,978.57/x
  3. Step 3: Cross multiply
    6,658.75x = 9,987.85 × 1,978.57
  4. Step 4: Simplify right side
    6,658.75x = 19,761,660.37
  5. Step 5: Solve for x
    x = 19,761,660.37/6,658.75
  6. Step 6: Final answer
    x = 2,967.77

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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.