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Finding the Fourth Proportional to 15,382.12, 23,073.82 and 7,981.82

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Solution

The fourth proportional to 15,382.12, 23,073.82 and 7,981.82 is: 11,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.12 : 23,073.82 = 7,981.82 : x
  2. Step 2: Convert to fraction form
    15,382.12/23,073.82 = 7,981.82/x
  3. Step 3: Cross multiply
    15,382.12x = 23,073.82 × 7,981.82
  4. Step 4: Simplify right side
    15,382.12x = 184,171,077.95
  5. Step 5: Solve for x
    x = 184,171,077.95/15,382.12
  6. Step 6: Final answer
    x = 11,973.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.