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Finding the Fourth Proportional to 2,713.26, 4,070.70 and 864.63

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Solution

The fourth proportional to 2,713.26, 4,070.70 and 864.63 is: 1,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.26 : 4,070.70 = 864.63 : x
  2. Step 2: Convert to fraction form
    2,713.26/4,070.70 = 864.63/x
  3. Step 3: Cross multiply
    2,713.26x = 4,070.70 × 864.63
  4. Step 4: Simplify right side
    2,713.26x = 3,519,649.34
  5. Step 5: Solve for x
    x = 3,519,649.34/2,713.26
  6. Step 6: Final answer
    x = 1,297.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.