Home / 1,538.19-2,122.61-875.00

Finding the Fourth Proportional to 1,538.19, 2,122.61 and 875.00

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Solution

The fourth proportional to 1,538.19, 2,122.61 and 875.00 is: 1,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.19 : 2,122.61 = 875.00 : x
  2. Step 2: Convert to fraction form
    1,538.19/2,122.61 = 875.00/x
  3. Step 3: Cross multiply
    1,538.19x = 2,122.61 × 875.00
  4. Step 4: Simplify right side
    1,538.19x = 1,857,284.68
  5. Step 5: Solve for x
    x = 1,857,284.68/1,538.19
  6. Step 6: Final answer
    x = 1,207.45

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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.