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Finding the Fourth Proportional to 13,177.84, 18,192 and 7,587.76

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Solution

The fourth proportional to 13,177.84, 18,192 and 7,587.76 is: 10,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.84 : 18,192 = 7,587.76 : x
  2. Step 2: Convert to fraction form
    13,177.84/18,192 = 7,587.76/x
  3. Step 3: Cross multiply
    13,177.84x = 18,192 × 7,587.76
  4. Step 4: Simplify right side
    13,177.84x = 138,036,529.92
  5. Step 5: Solve for x
    x = 138,036,529.92/13,177.84
  6. Step 6: Final answer
    x = 10,474.90

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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.