Home / 1,538.40-2,122.76-875.28

Finding the Fourth Proportional to 1,538.40, 2,122.76 and 875.28

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Solution

The fourth proportional to 1,538.40, 2,122.76 and 875.28 is: 1,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.40 : 2,122.76 = 875.28 : x
  2. Step 2: Convert to fraction form
    1,538.40/2,122.76 = 875.28/x
  3. Step 3: Cross multiply
    1,538.40x = 2,122.76 × 875.28
  4. Step 4: Simplify right side
    1,538.40x = 1,858,009.37
  5. Step 5: Solve for x
    x = 1,858,009.37/1,538.40
  6. Step 6: Final answer
    x = 1,207.75

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1.5x scale

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.