Home / 1,538.70-2,123.56-909.44

Finding the Fourth Proportional to 1,538.70, 2,123.56 and 909.44

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Solution

The fourth proportional to 1,538.70, 2,123.56 and 909.44 is: 1,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.70 : 2,123.56 = 909.44 : x
  2. Step 2: Convert to fraction form
    1,538.70/2,123.56 = 909.44/x
  3. Step 3: Cross multiply
    1,538.70x = 2,123.56 × 909.44
  4. Step 4: Simplify right side
    1,538.70x = 1,931,250.41
  5. Step 5: Solve for x
    x = 1,931,250.41/1,538.70
  6. Step 6: Final answer
    x = 1,255.12

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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.