Home / 1,642.24-2,264.08-1,591.28

Finding the Fourth Proportional to 1,642.24, 2,264.08 and 1,591.28

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Solution

The fourth proportional to 1,642.24, 2,264.08 and 1,591.28 is: 2,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.24 : 2,264.08 = 1,591.28 : x
  2. Step 2: Convert to fraction form
    1,642.24/2,264.08 = 1,591.28/x
  3. Step 3: Cross multiply
    1,642.24x = 2,264.08 × 1,591.28
  4. Step 4: Simplify right side
    1,642.24x = 3,602,785.22
  5. Step 5: Solve for x
    x = 3,602,785.22/1,642.24
  6. Step 6: Final answer
    x = 2,193.82

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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.