Home / 1,534.72-2,291.68-1,206.40

Finding the Fourth Proportional to 1,534.72, 2,291.68 and 1,206.40

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Solution

The fourth proportional to 1,534.72, 2,291.68 and 1,206.40 is: 1,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.72 : 2,291.68 = 1,206.40 : x
  2. Step 2: Convert to fraction form
    1,534.72/2,291.68 = 1,206.40/x
  3. Step 3: Cross multiply
    1,534.72x = 2,291.68 × 1,206.40
  4. Step 4: Simplify right side
    1,534.72x = 2,764,682.75
  5. Step 5: Solve for x
    x = 2,764,682.75/1,534.72
  6. Step 6: Final answer
    x = 1,801.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.