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Finding the Fourth Proportional to 4,728.64, 6,527.04 and 2,867.20

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Solution

The fourth proportional to 4,728.64, 6,527.04 and 2,867.20 is: 3,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.64 : 6,527.04 = 2,867.20 : x
  2. Step 2: Convert to fraction form
    4,728.64/6,527.04 = 2,867.20/x
  3. Step 3: Cross multiply
    4,728.64x = 6,527.04 × 2,867.20
  4. Step 4: Simplify right side
    4,728.64x = 18,714,329.09
  5. Step 5: Solve for x
    x = 18,714,329.09/4,728.64
  6. Step 6: Final answer
    x = 3,957.66

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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.