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Finding the Fourth Proportional to 6,449.68, 9,675.16 and 2,987.92

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Solution

The fourth proportional to 6,449.68, 9,675.16 and 2,987.92 is: 4,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.68 : 9,675.16 = 2,987.92 : x
  2. Step 2: Convert to fraction form
    6,449.68/9,675.16 = 2,987.92/x
  3. Step 3: Cross multiply
    6,449.68x = 9,675.16 × 2,987.92
  4. Step 4: Simplify right side
    6,449.68x = 28,908,604.07
  5. Step 5: Solve for x
    x = 28,908,604.07/6,449.68
  6. Step 6: Final answer
    x = 4,482.18

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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.