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Finding the Fourth Proportional to 12,292.59, 16,961.23 and 7,187.12

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Solution

The fourth proportional to 12,292.59, 16,961.23 and 7,187.12 is: 9,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.59 : 16,961.23 = 7,187.12 : x
  2. Step 2: Convert to fraction form
    12,292.59/16,961.23 = 7,187.12/x
  3. Step 3: Cross multiply
    12,292.59x = 16,961.23 × 7,187.12
  4. Step 4: Simplify right side
    12,292.59x = 121,902,446.74
  5. Step 5: Solve for x
    x = 121,902,446.74/12,292.59
  6. Step 6: Final answer
    x = 9,916.74

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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.