Home / 1,538.58-2,122.96-909.06

Finding the Fourth Proportional to 1,538.58, 2,122.96 and 909.06

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Solution

The fourth proportional to 1,538.58, 2,122.96 and 909.06 is: 1,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.58 : 2,122.96 = 909.06 : x
  2. Step 2: Convert to fraction form
    1,538.58/2,122.96 = 909.06/x
  3. Step 3: Cross multiply
    1,538.58x = 2,122.96 × 909.06
  4. Step 4: Simplify right side
    1,538.58x = 1,929,898.02
  5. Step 5: Solve for x
    x = 1,929,898.02/1,538.58
  6. Step 6: Final answer
    x = 1,254.34

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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.