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Finding the Fourth Proportional to 2,864.83, 3,948.11 and 2,234.36

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Solution

The fourth proportional to 2,864.83, 3,948.11 and 2,234.36 is: 3,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.83 : 3,948.11 = 2,234.36 : x
  2. Step 2: Convert to fraction form
    2,864.83/3,948.11 = 2,234.36/x
  3. Step 3: Cross multiply
    2,864.83x = 3,948.11 × 2,234.36
  4. Step 4: Simplify right side
    2,864.83x = 8,821,518.71
  5. Step 5: Solve for x
    x = 8,821,518.71/2,864.83
  6. Step 6: Final answer
    x = 3,079.25

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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.