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Finding the Fourth Proportional to 12,377.76, 17,082.12 and 6,788.76

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Solution

The fourth proportional to 12,377.76, 17,082.12 and 6,788.76 is: 9,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.76 : 17,082.12 = 6,788.76 : x
  2. Step 2: Convert to fraction form
    12,377.76/17,082.12 = 6,788.76/x
  3. Step 3: Cross multiply
    12,377.76x = 17,082.12 × 6,788.76
  4. Step 4: Simplify right side
    12,377.76x = 115,966,412.97
  5. Step 5: Solve for x
    x = 115,966,412.97/12,377.76
  6. Step 6: Final answer
    x = 9,368.93

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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.