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Finding the Fourth Proportional to 2,713.77, 4,070.65 and 864.88

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Solution

The fourth proportional to 2,713.77, 4,070.65 and 864.88 is: 1,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.77 : 4,070.65 = 864.88 : x
  2. Step 2: Convert to fraction form
    2,713.77/4,070.65 = 864.88/x
  3. Step 3: Cross multiply
    2,713.77x = 4,070.65 × 864.88
  4. Step 4: Simplify right side
    2,713.77x = 3,520,623.77
  5. Step 5: Solve for x
    x = 3,520,623.77/2,713.77
  6. Step 6: Final answer
    x = 1,297.32

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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.