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Finding the Fourth Proportional to 6,657.96, 9,987.24 and 1,977.78

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Solution

The fourth proportional to 6,657.96, 9,987.24 and 1,977.78 is: 2,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.96 : 9,987.24 = 1,977.78 : x
  2. Step 2: Convert to fraction form
    6,657.96/9,987.24 = 1,977.78/x
  3. Step 3: Cross multiply
    6,657.96x = 9,987.24 × 1,977.78
  4. Step 4: Simplify right side
    6,657.96x = 19,752,563.53
  5. Step 5: Solve for x
    x = 19,752,563.53/6,657.96
  6. Step 6: Final answer
    x = 2,966.76

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Double scale
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Similar ratio
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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.