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Finding the Fourth Proportional to 8,674.72, 13,014 and 4,777.12

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Solution

The fourth proportional to 8,674.72, 13,014 and 4,777.12 is: 7,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.72 : 13,014 = 4,777.12 : x
  2. Step 2: Convert to fraction form
    8,674.72/13,014 = 4,777.12/x
  3. Step 3: Cross multiply
    8,674.72x = 13,014 × 4,777.12
  4. Step 4: Simplify right side
    8,674.72x = 62,169,439.68
  5. Step 5: Solve for x
    x = 62,169,439.68/8,674.72
  6. Step 6: Final answer
    x = 7,166.74

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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.