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Finding the Fourth Proportional to 11,730, 16,170.70 and 7,251.21

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Solution

The fourth proportional to 11,730, 16,170.70 and 7,251.21 is: 9,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730 : 16,170.70 = 7,251.21 : x
  2. Step 2: Convert to fraction form
    11,730/16,170.70 = 7,251.21/x
  3. Step 3: Cross multiply
    11,730x = 16,170.70 × 7,251.21
  4. Step 4: Simplify right side
    11,730x = 117,257,141.55
  5. Step 5: Solve for x
    x = 117,257,141.55/11,730
  6. Step 6: Final answer
    x = 9,996.35

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1.5x scale

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.