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Finding the Fourth Proportional to 2,172.75, 3,259.53 and 1,018.50

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Solution

The fourth proportional to 2,172.75, 3,259.53 and 1,018.50 is: 1,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.75 : 3,259.53 = 1,018.50 : x
  2. Step 2: Convert to fraction form
    2,172.75/3,259.53 = 1,018.50/x
  3. Step 3: Cross multiply
    2,172.75x = 3,259.53 × 1,018.50
  4. Step 4: Simplify right side
    2,172.75x = 3,319,831.31
  5. Step 5: Solve for x
    x = 3,319,831.31/2,172.75
  6. Step 6: Final answer
    x = 1,527.94

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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.