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Finding the Fourth Proportional to 2,175.02, 3,000.80 and 1,230.68

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Solution

The fourth proportional to 2,175.02, 3,000.80 and 1,230.68 is: 1,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.02 : 3,000.80 = 1,230.68 : x
  2. Step 2: Convert to fraction form
    2,175.02/3,000.80 = 1,230.68/x
  3. Step 3: Cross multiply
    2,175.02x = 3,000.80 × 1,230.68
  4. Step 4: Simplify right side
    2,175.02x = 3,693,024.54
  5. Step 5: Solve for x
    x = 3,693,024.54/2,175.02
  6. Step 6: Final answer
    x = 1,697.93

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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.