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Finding the Fourth Proportional to 6,657.42, 9,988.12 and 1,977.58

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Solution

The fourth proportional to 6,657.42, 9,988.12 and 1,977.58 is: 2,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.42 : 9,988.12 = 1,977.58 : x
  2. Step 2: Convert to fraction form
    6,657.42/9,988.12 = 1,977.58/x
  3. Step 3: Cross multiply
    6,657.42x = 9,988.12 × 1,977.58
  4. Step 4: Simplify right side
    6,657.42x = 19,752,306.35
  5. Step 5: Solve for x
    x = 19,752,306.35/6,657.42
  6. Step 6: Final answer
    x = 2,966.96

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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.