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Finding the Fourth Proportional to 1,678.92, 2,518.82 and 857.18

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Solution

The fourth proportional to 1,678.92, 2,518.82 and 857.18 is: 1,285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.92 : 2,518.82 = 857.18 : x
  2. Step 2: Convert to fraction form
    1,678.92/2,518.82 = 857.18/x
  3. Step 3: Cross multiply
    1,678.92x = 2,518.82 × 857.18
  4. Step 4: Simplify right side
    1,678.92x = 2,159,082.13
  5. Step 5: Solve for x
    x = 2,159,082.13/1,678.92
  6. Step 6: Final answer
    x = 1,285.99

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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.