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Finding the Fourth Proportional to 2,140.48, 3,207.48 and 1,590.10

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Solution

The fourth proportional to 2,140.48, 3,207.48 and 1,590.10 is: 2,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.48 : 3,207.48 = 1,590.10 : x
  2. Step 2: Convert to fraction form
    2,140.48/3,207.48 = 1,590.10/x
  3. Step 3: Cross multiply
    2,140.48x = 3,207.48 × 1,590.10
  4. Step 4: Simplify right side
    2,140.48x = 5,100,213.95
  5. Step 5: Solve for x
    x = 5,100,213.95/2,140.48
  6. Step 6: Final answer
    x = 2,382.74

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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.