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Finding the Fourth Proportional to 1,856.13, 2,784.60 and 686.49

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Solution

The fourth proportional to 1,856.13, 2,784.60 and 686.49 is: 1,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.13 : 2,784.60 = 686.49 : x
  2. Step 2: Convert to fraction form
    1,856.13/2,784.60 = 686.49/x
  3. Step 3: Cross multiply
    1,856.13x = 2,784.60 × 686.49
  4. Step 4: Simplify right side
    1,856.13x = 1,911,600.05
  5. Step 5: Solve for x
    x = 1,911,600.05/1,856.13
  6. Step 6: Final answer
    x = 1,029.88

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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.