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Finding the Fourth Proportional to 8,478.96, 12,715.74 and 5,874

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Solution

The fourth proportional to 8,478.96, 12,715.74 and 5,874 is: 8,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.96 : 12,715.74 = 5,874 : x
  2. Step 2: Convert to fraction form
    8,478.96/12,715.74 = 5,874/x
  3. Step 3: Cross multiply
    8,478.96x = 12,715.74 × 5,874
  4. Step 4: Simplify right side
    8,478.96x = 74,692,256.76
  5. Step 5: Solve for x
    x = 74,692,256.76/8,478.96
  6. Step 6: Final answer
    x = 8,809.13

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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.