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Finding the Fourth Proportional to 2,500.40, 3,747.40 and 1,920.40

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Solution

The fourth proportional to 2,500.40, 3,747.40 and 1,920.40 is: 2,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.40 : 3,747.40 = 1,920.40 : x
  2. Step 2: Convert to fraction form
    2,500.40/3,747.40 = 1,920.40/x
  3. Step 3: Cross multiply
    2,500.40x = 3,747.40 × 1,920.40
  4. Step 4: Simplify right side
    2,500.40x = 7,196,506.96
  5. Step 5: Solve for x
    x = 7,196,506.96/2,500.40
  6. Step 6: Final answer
    x = 2,878.14

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1.5x scale

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.