Home / 1,475.32-2,210.28-824.08

Finding the Fourth Proportional to 1,475.32, 2,210.28 and 824.08

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Solution

The fourth proportional to 1,475.32, 2,210.28 and 824.08 is: 1,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.32 : 2,210.28 = 824.08 : x
  2. Step 2: Convert to fraction form
    1,475.32/2,210.28 = 824.08/x
  3. Step 3: Cross multiply
    1,475.32x = 2,210.28 × 824.08
  4. Step 4: Simplify right side
    1,475.32x = 1,821,447.54
  5. Step 5: Solve for x
    x = 1,821,447.54/1,475.32
  6. Step 6: Final answer
    x = 1,234.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.