Home / 1,538.37-2,122.98-875.10

Finding the Fourth Proportional to 1,538.37, 2,122.98 and 875.10

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Solution

The fourth proportional to 1,538.37, 2,122.98 and 875.10 is: 1,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.37 : 2,122.98 = 875.10 : x
  2. Step 2: Convert to fraction form
    1,538.37/2,122.98 = 875.10/x
  3. Step 3: Cross multiply
    1,538.37x = 2,122.98 × 875.10
  4. Step 4: Simplify right side
    1,538.37x = 1,857,819.80
  5. Step 5: Solve for x
    x = 1,857,819.80/1,538.37
  6. Step 6: Final answer
    x = 1,207.65

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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.