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Finding the Fourth Proportional to 9,965.16, 13,751.92 and 5,488.88

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Solution

The fourth proportional to 9,965.16, 13,751.92 and 5,488.88 is: 7,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.16 : 13,751.92 = 5,488.88 : x
  2. Step 2: Convert to fraction form
    9,965.16/13,751.92 = 5,488.88/x
  3. Step 3: Cross multiply
    9,965.16x = 13,751.92 × 5,488.88
  4. Step 4: Simplify right side
    9,965.16x = 75,482,638.65
  5. Step 5: Solve for x
    x = 75,482,638.65/9,965.16
  6. Step 6: Final answer
    x = 7,574.65

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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.