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Finding the Fourth Proportional to 2,172, 3,259.08 and 1,002

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Solution

The fourth proportional to 2,172, 3,259.08 and 1,002 is: 1,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172 : 3,259.08 = 1,002 : x
  2. Step 2: Convert to fraction form
    2,172/3,259.08 = 1,002/x
  3. Step 3: Cross multiply
    2,172x = 3,259.08 × 1,002
  4. Step 4: Simplify right side
    2,172x = 3,265,598.16
  5. Step 5: Solve for x
    x = 3,265,598.16/2,172
  6. Step 6: Final answer
    x = 1,503.50

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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.