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Finding the Fourth Proportional to 2,315.61, 3,474.93 and 854.79

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Solution

The fourth proportional to 2,315.61, 3,474.93 and 854.79 is: 1,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.61 : 3,474.93 = 854.79 : x
  2. Step 2: Convert to fraction form
    2,315.61/3,474.93 = 854.79/x
  3. Step 3: Cross multiply
    2,315.61x = 3,474.93 × 854.79
  4. Step 4: Simplify right side
    2,315.61x = 2,970,335.41
  5. Step 5: Solve for x
    x = 2,970,335.41/2,315.61
  6. Step 6: Final answer
    x = 1,282.74

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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.