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Finding the Fourth Proportional to 1,138.92, 1,714.40 and 971.88

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Solution

The fourth proportional to 1,138.92, 1,714.40 and 971.88 is: 1,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.92 : 1,714.40 = 971.88 : x
  2. Step 2: Convert to fraction form
    1,138.92/1,714.40 = 971.88/x
  3. Step 3: Cross multiply
    1,138.92x = 1,714.40 × 971.88
  4. Step 4: Simplify right side
    1,138.92x = 1,666,191.07
  5. Step 5: Solve for x
    x = 1,666,191.07/1,138.92
  6. Step 6: Final answer
    x = 1,462.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.