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Finding the Fourth Proportional to 1,856.27, 2,784.42 and 686.26

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Solution

The fourth proportional to 1,856.27, 2,784.42 and 686.26 is: 1,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.27 : 2,784.42 = 686.26 : x
  2. Step 2: Convert to fraction form
    1,856.27/2,784.42 = 686.26/x
  3. Step 3: Cross multiply
    1,856.27x = 2,784.42 × 686.26
  4. Step 4: Simplify right side
    1,856.27x = 1,910,836.07
  5. Step 5: Solve for x
    x = 1,910,836.07/1,856.27
  6. Step 6: Final answer
    x = 1,029.40

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1.5x scale

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.