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Finding the Fourth Proportional to 1,856.91, 2,785.82 and 540.66

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Solution

The fourth proportional to 1,856.91, 2,785.82 and 540.66 is: 811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.91 : 2,785.82 = 540.66 : x
  2. Step 2: Convert to fraction form
    1,856.91/2,785.82 = 540.66/x
  3. Step 3: Cross multiply
    1,856.91x = 2,785.82 × 540.66
  4. Step 4: Simplify right side
    1,856.91x = 1,506,178.74
  5. Step 5: Solve for x
    x = 1,506,178.74/1,856.91
  6. Step 6: Final answer
    x = 811.12

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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.