Home / 1,667.12-2,502.30-1,284.80

Finding the Fourth Proportional to 1,667.12, 2,502.30 and 1,284.80

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Solution

The fourth proportional to 1,667.12, 2,502.30 and 1,284.80 is: 1,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.12 : 2,502.30 = 1,284.80 : x
  2. Step 2: Convert to fraction form
    1,667.12/2,502.30 = 1,284.80/x
  3. Step 3: Cross multiply
    1,667.12x = 2,502.30 × 1,284.80
  4. Step 4: Simplify right side
    1,667.12x = 3,214,955.04
  5. Step 5: Solve for x
    x = 3,214,955.04/1,667.12
  6. Step 6: Final answer
    x = 1,928.45

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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.