Home / 2,378.06-3,283-1,434.02

Finding the Fourth Proportional to 2,378.06, 3,283 and 1,434.02

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Solution

The fourth proportional to 2,378.06, 3,283 and 1,434.02 is: 1,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.06 : 3,283 = 1,434.02 : x
  2. Step 2: Convert to fraction form
    2,378.06/3,283 = 1,434.02/x
  3. Step 3: Cross multiply
    2,378.06x = 3,283 × 1,434.02
  4. Step 4: Simplify right side
    2,378.06x = 4,707,887.66
  5. Step 5: Solve for x
    x = 4,707,887.66/2,378.06
  6. Step 6: Final answer
    x = 1,979.72

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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.