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Finding the Fourth Proportional to 8,708.64, 12,014 and 5,169.84

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Solution

The fourth proportional to 8,708.64, 12,014 and 5,169.84 is: 7,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,708.64 : 12,014 = 5,169.84 : x
  2. Step 2: Convert to fraction form
    8,708.64/12,014 = 5,169.84/x
  3. Step 3: Cross multiply
    8,708.64x = 12,014 × 5,169.84
  4. Step 4: Simplify right side
    8,708.64x = 62,110,457.76
  5. Step 5: Solve for x
    x = 62,110,457.76/8,708.64
  6. Step 6: Final answer
    x = 7,132.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.