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Finding the Fourth Proportional to 2,713.51, 4,070.88 and 864.73

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Solution

The fourth proportional to 2,713.51, 4,070.88 and 864.73 is: 1,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.51 : 4,070.88 = 864.73 : x
  2. Step 2: Convert to fraction form
    2,713.51/4,070.88 = 864.73/x
  3. Step 3: Cross multiply
    2,713.51x = 4,070.88 × 864.73
  4. Step 4: Simplify right side
    2,713.51x = 3,520,207.74
  5. Step 5: Solve for x
    x = 3,520,207.74/2,713.51
  6. Step 6: Final answer
    x = 1,297.29

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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.