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Finding the Fourth Proportional to 2,002.34, 2,763.12 and 1,118.24

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Solution

The fourth proportional to 2,002.34, 2,763.12 and 1,118.24 is: 1,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.34 : 2,763.12 = 1,118.24 : x
  2. Step 2: Convert to fraction form
    2,002.34/2,763.12 = 1,118.24/x
  3. Step 3: Cross multiply
    2,002.34x = 2,763.12 × 1,118.24
  4. Step 4: Simplify right side
    2,002.34x = 3,089,831.31
  5. Step 5: Solve for x
    x = 3,089,831.31/2,002.34
  6. Step 6: Final answer
    x = 1,543.11

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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.