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Finding the Fourth Proportional to 2,686.94, 4,031.02 and 931.97

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Solution

The fourth proportional to 2,686.94, 4,031.02 and 931.97 is: 1,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.94 : 4,031.02 = 931.97 : x
  2. Step 2: Convert to fraction form
    2,686.94/4,031.02 = 931.97/x
  3. Step 3: Cross multiply
    2,686.94x = 4,031.02 × 931.97
  4. Step 4: Simplify right side
    2,686.94x = 3,756,795.71
  5. Step 5: Solve for x
    x = 3,756,795.71/2,686.94
  6. Step 6: Final answer
    x = 1,398.17

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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.