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Finding the Fourth Proportional to 12,861.51, 17,758.95 and 9,872.61

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Solution

The fourth proportional to 12,861.51, 17,758.95 and 9,872.61 is: 13,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.51 : 17,758.95 = 9,872.61 : x
  2. Step 2: Convert to fraction form
    12,861.51/17,758.95 = 9,872.61/x
  3. Step 3: Cross multiply
    12,861.51x = 17,758.95 × 9,872.61
  4. Step 4: Simplify right side
    12,861.51x = 175,327,187.36
  5. Step 5: Solve for x
    x = 175,327,187.36/12,861.51
  6. Step 6: Final answer
    x = 13,631.93

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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.