Home / 1,430.80-1,974.24-1,209.28

Finding the Fourth Proportional to 1,430.80, 1,974.24 and 1,209.28

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Solution

The fourth proportional to 1,430.80, 1,974.24 and 1,209.28 is: 1,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.80 : 1,974.24 = 1,209.28 : x
  2. Step 2: Convert to fraction form
    1,430.80/1,974.24 = 1,209.28/x
  3. Step 3: Cross multiply
    1,430.80x = 1,974.24 × 1,209.28
  4. Step 4: Simplify right side
    1,430.80x = 2,387,408.95
  5. Step 5: Solve for x
    x = 2,387,408.95/1,430.80
  6. Step 6: Final answer
    x = 1,668.58

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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.