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Finding the Fourth Proportional to 6,657.54, 9,988.31 and 1,977.71

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Solution

The fourth proportional to 6,657.54, 9,988.31 and 1,977.71 is: 2,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.54 : 9,988.31 = 1,977.71 : x
  2. Step 2: Convert to fraction form
    6,657.54/9,988.31 = 1,977.71/x
  3. Step 3: Cross multiply
    6,657.54x = 9,988.31 × 1,977.71
  4. Step 4: Simplify right side
    6,657.54x = 19,753,920.74
  5. Step 5: Solve for x
    x = 19,753,920.74/6,657.54
  6. Step 6: Final answer
    x = 2,967.15

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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.