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Finding the Fourth Proportional to 2,713.33, 4,070.63 and 864.55

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Solution

The fourth proportional to 2,713.33, 4,070.63 and 864.55 is: 1,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.33 : 4,070.63 = 864.55 : x
  2. Step 2: Convert to fraction form
    2,713.33/4,070.63 = 864.55/x
  3. Step 3: Cross multiply
    2,713.33x = 4,070.63 × 864.55
  4. Step 4: Simplify right side
    2,713.33x = 3,519,263.17
  5. Step 5: Solve for x
    x = 3,519,263.17/2,713.33
  6. Step 6: Final answer
    x = 1,297.03

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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.