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Finding the Fourth Proportional to 8,578.42, 12,869.08 and 2,955.87

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Solution

The fourth proportional to 8,578.42, 12,869.08 and 2,955.87 is: 4,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.42 : 12,869.08 = 2,955.87 : x
  2. Step 2: Convert to fraction form
    8,578.42/12,869.08 = 2,955.87/x
  3. Step 3: Cross multiply
    8,578.42x = 12,869.08 × 2,955.87
  4. Step 4: Simplify right side
    8,578.42x = 38,039,320.11
  5. Step 5: Solve for x
    x = 38,039,320.11/8,578.42
  6. Step 6: Final answer
    x = 4,434.31

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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.