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Finding the Fourth Proportional to 6,482.64, 9,723.72 and 2,587.20

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Solution

The fourth proportional to 6,482.64, 9,723.72 and 2,587.20 is: 3,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.64 : 9,723.72 = 2,587.20 : x
  2. Step 2: Convert to fraction form
    6,482.64/9,723.72 = 2,587.20/x
  3. Step 3: Cross multiply
    6,482.64x = 9,723.72 × 2,587.20
  4. Step 4: Simplify right side
    6,482.64x = 25,157,208.38
  5. Step 5: Solve for x
    x = 25,157,208.38/6,482.64
  6. Step 6: Final answer
    x = 3,880.70

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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.