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Finding the Fourth Proportional to 2,608.80, 3,600.24 and 1,430.04

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Solution

The fourth proportional to 2,608.80, 3,600.24 and 1,430.04 is: 1,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.80 : 3,600.24 = 1,430.04 : x
  2. Step 2: Convert to fraction form
    2,608.80/3,600.24 = 1,430.04/x
  3. Step 3: Cross multiply
    2,608.80x = 3,600.24 × 1,430.04
  4. Step 4: Simplify right side
    2,608.80x = 5,148,487.21
  5. Step 5: Solve for x
    x = 5,148,487.21/2,608.80
  6. Step 6: Final answer
    x = 1,973.51

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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.