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Finding the Fourth Proportional to 2,442.90, 3,428.70 and 2,442.90

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Solution

The fourth proportional to 2,442.90, 3,428.70 and 2,442.90 is: 3,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.90 : 3,428.70 = 2,442.90 : x
  2. Step 2: Convert to fraction form
    2,442.90/3,428.70 = 2,442.90/x
  3. Step 3: Cross multiply
    2,442.90x = 3,428.70 × 2,442.90
  4. Step 4: Simplify right side
    2,442.90x = 8,375,971.23
  5. Step 5: Solve for x
    x = 8,375,971.23/2,442.90
  6. Step 6: Final answer
    x = 3,428.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.