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Finding the Fourth Proportional to 8,960, 13,438.16 and 3,116.88

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Solution

The fourth proportional to 8,960, 13,438.16 and 3,116.88 is: 4,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,960 : 13,438.16 = 3,116.88 : x
  2. Step 2: Convert to fraction form
    8,960/13,438.16 = 3,116.88/x
  3. Step 3: Cross multiply
    8,960x = 13,438.16 × 3,116.88
  4. Step 4: Simplify right side
    8,960x = 41,885,132.14
  5. Step 5: Solve for x
    x = 41,885,132.14/8,960
  6. Step 6: Final answer
    x = 4,674.68

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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.