Home / 1,538.58-2,123.13-909.08

Finding the Fourth Proportional to 1,538.58, 2,123.13 and 909.08

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Solution

The fourth proportional to 1,538.58, 2,123.13 and 909.08 is: 1,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.58 : 2,123.13 = 909.08 : x
  2. Step 2: Convert to fraction form
    1,538.58/2,123.13 = 909.08/x
  3. Step 3: Cross multiply
    1,538.58x = 2,123.13 × 909.08
  4. Step 4: Simplify right side
    1,538.58x = 1,930,095.02
  5. Step 5: Solve for x
    x = 1,930,095.02/1,538.58
  6. Step 6: Final answer
    x = 1,254.47

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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.