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Finding the Fourth Proportional to 1,807.95, 2,714.39 and 931.17

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Solution

The fourth proportional to 1,807.95, 2,714.39 and 931.17 is: 1,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.95 : 2,714.39 = 931.17 : x
  2. Step 2: Convert to fraction form
    1,807.95/2,714.39 = 931.17/x
  3. Step 3: Cross multiply
    1,807.95x = 2,714.39 × 931.17
  4. Step 4: Simplify right side
    1,807.95x = 2,527,558.54
  5. Step 5: Solve for x
    x = 2,527,558.54/1,807.95
  6. Step 6: Final answer
    x = 1,398.02

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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.