Home / 1,604.32-2,209.20-1,488.16

Finding the Fourth Proportional to 1,604.32, 2,209.20 and 1,488.16

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Solution

The fourth proportional to 1,604.32, 2,209.20 and 1,488.16 is: 2,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.32 : 2,209.20 = 1,488.16 : x
  2. Step 2: Convert to fraction form
    1,604.32/2,209.20 = 1,488.16/x
  3. Step 3: Cross multiply
    1,604.32x = 2,209.20 × 1,488.16
  4. Step 4: Simplify right side
    1,604.32x = 3,287,643.07
  5. Step 5: Solve for x
    x = 3,287,643.07/1,604.32
  6. Step 6: Final answer
    x = 2,049.24

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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.