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Finding the Fourth Proportional to 2,140.08, 3,210.12 and 1,168.08

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Solution

The fourth proportional to 2,140.08, 3,210.12 and 1,168.08 is: 1,752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.08 : 3,210.12 = 1,168.08 : x
  2. Step 2: Convert to fraction form
    2,140.08/3,210.12 = 1,168.08/x
  3. Step 3: Cross multiply
    2,140.08x = 3,210.12 × 1,168.08
  4. Step 4: Simplify right side
    2,140.08x = 3,749,676.97
  5. Step 5: Solve for x
    x = 3,749,676.97/2,140.08
  6. Step 6: Final answer
    x = 1,752.12

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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.