Home / 1,521.20-2,099.49-892.10

Finding the Fourth Proportional to 1,521.20, 2,099.49 and 892.10

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Solution

The fourth proportional to 1,521.20, 2,099.49 and 892.10 is: 1,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.20 : 2,099.49 = 892.10 : x
  2. Step 2: Convert to fraction form
    1,521.20/2,099.49 = 892.10/x
  3. Step 3: Cross multiply
    1,521.20x = 2,099.49 × 892.10
  4. Step 4: Simplify right side
    1,521.20x = 1,872,955.03
  5. Step 5: Solve for x
    x = 1,872,955.03/1,521.20
  6. Step 6: Final answer
    x = 1,231.24

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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.