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Finding the Fourth Proportional to 9,397.20, 12,955.88 and 8,085

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Solution

The fourth proportional to 9,397.20, 12,955.88 and 8,085 is: 11,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.20 : 12,955.88 = 8,085 : x
  2. Step 2: Convert to fraction form
    9,397.20/12,955.88 = 8,085/x
  3. Step 3: Cross multiply
    9,397.20x = 12,955.88 × 8,085
  4. Step 4: Simplify right side
    9,397.20x = 104,748,289.80
  5. Step 5: Solve for x
    x = 104,748,289.80/9,397.20
  6. Step 6: Final answer
    x = 11,146.76

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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.