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Finding the Fourth Proportional to 13,005.92, 17,950.24 and 8,291.76

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Solution

The fourth proportional to 13,005.92, 17,950.24 and 8,291.76 is: 11,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.92 : 17,950.24 = 8,291.76 : x
  2. Step 2: Convert to fraction form
    13,005.92/17,950.24 = 8,291.76/x
  3. Step 3: Cross multiply
    13,005.92x = 17,950.24 × 8,291.76
  4. Step 4: Simplify right side
    13,005.92x = 148,839,082.02
  5. Step 5: Solve for x
    x = 148,839,082.02/13,005.92
  6. Step 6: Final answer
    x = 11,443.95

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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.