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Finding the Fourth Proportional to 2,167.72, 2,990.10 and 1,421.72

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Solution

The fourth proportional to 2,167.72, 2,990.10 and 1,421.72 is: 1,961.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.72 : 2,990.10 = 1,421.72 : x
  2. Step 2: Convert to fraction form
    2,167.72/2,990.10 = 1,421.72/x
  3. Step 3: Cross multiply
    2,167.72x = 2,990.10 × 1,421.72
  4. Step 4: Simplify right side
    2,167.72x = 4,251,084.97
  5. Step 5: Solve for x
    x = 4,251,084.97/2,167.72
  6. Step 6: Final answer
    x = 1,961.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.