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Finding the Fourth Proportional to 8,461.74, 12,693.47 and 2,914.35

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Solution

The fourth proportional to 8,461.74, 12,693.47 and 2,914.35 is: 4,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.74 : 12,693.47 = 2,914.35 : x
  2. Step 2: Convert to fraction form
    8,461.74/12,693.47 = 2,914.35/x
  3. Step 3: Cross multiply
    8,461.74x = 12,693.47 × 2,914.35
  4. Step 4: Simplify right side
    8,461.74x = 36,993,199.72
  5. Step 5: Solve for x
    x = 36,993,199.72/8,461.74
  6. Step 6: Final answer
    x = 4,371.82

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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.