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Finding the Fourth Proportional to 8,506.71, 12,760.05 and 3,312.59

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Solution

The fourth proportional to 8,506.71, 12,760.05 and 3,312.59 is: 4,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.71 : 12,760.05 = 3,312.59 : x
  2. Step 2: Convert to fraction form
    8,506.71/12,760.05 = 3,312.59/x
  3. Step 3: Cross multiply
    8,506.71x = 12,760.05 × 3,312.59
  4. Step 4: Simplify right side
    8,506.71x = 42,268,750.23
  5. Step 5: Solve for x
    x = 42,268,750.23/8,506.71
  6. Step 6: Final answer
    x = 4,968.87

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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.