Home / 1,538.50-2,123.08-875.44

Finding the Fourth Proportional to 1,538.50, 2,123.08 and 875.44

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Solution

The fourth proportional to 1,538.50, 2,123.08 and 875.44 is: 1,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.50 : 2,123.08 = 875.44 : x
  2. Step 2: Convert to fraction form
    1,538.50/2,123.08 = 875.44/x
  3. Step 3: Cross multiply
    1,538.50x = 2,123.08 × 875.44
  4. Step 4: Simplify right side
    1,538.50x = 1,858,624.78
  5. Step 5: Solve for x
    x = 1,858,624.78/1,538.50
  6. Step 6: Final answer
    x = 1,208.08

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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.