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Finding the Fourth Proportional to 8,969.82, 12,381.30 and 8,023.95

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Solution

The fourth proportional to 8,969.82, 12,381.30 and 8,023.95 is: 11,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.82 : 12,381.30 = 8,023.95 : x
  2. Step 2: Convert to fraction form
    8,969.82/12,381.30 = 8,023.95/x
  3. Step 3: Cross multiply
    8,969.82x = 12,381.30 × 8,023.95
  4. Step 4: Simplify right side
    8,969.82x = 99,346,932.14
  5. Step 5: Solve for x
    x = 99,346,932.14/8,969.82
  6. Step 6: Final answer
    x = 11,075.69

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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.