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Finding the Fourth Proportional to 2,167.90, 2,990.10 and 1,381.24

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Solution

The fourth proportional to 2,167.90, 2,990.10 and 1,381.24 is: 1,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.90 : 2,990.10 = 1,381.24 : x
  2. Step 2: Convert to fraction form
    2,167.90/2,990.10 = 1,381.24/x
  3. Step 3: Cross multiply
    2,167.90x = 2,990.10 × 1,381.24
  4. Step 4: Simplify right side
    2,167.90x = 4,130,045.72
  5. Step 5: Solve for x
    x = 4,130,045.72/2,167.90
  6. Step 6: Final answer
    x = 1,905.09

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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.