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Finding the Fourth Proportional to 9,872.77, 13,620.79 and 6,338.04

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Solution

The fourth proportional to 9,872.77, 13,620.79 and 6,338.04 is: 8,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.77 : 13,620.79 = 6,338.04 : x
  2. Step 2: Convert to fraction form
    9,872.77/13,620.79 = 6,338.04/x
  3. Step 3: Cross multiply
    9,872.77x = 13,620.79 × 6,338.04
  4. Step 4: Simplify right side
    9,872.77x = 86,329,111.85
  5. Step 5: Solve for x
    x = 86,329,111.85/9,872.77
  6. Step 6: Final answer
    x = 8,744.16

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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.