Home / 1,652.12-2,478.58-828.34

Finding the Fourth Proportional to 1,652.12, 2,478.58 and 828.34

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Solution

The fourth proportional to 1,652.12, 2,478.58 and 828.34 is: 1,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.12 : 2,478.58 = 828.34 : x
  2. Step 2: Convert to fraction form
    1,652.12/2,478.58 = 828.34/x
  3. Step 3: Cross multiply
    1,652.12x = 2,478.58 × 828.34
  4. Step 4: Simplify right side
    1,652.12x = 2,053,106.96
  5. Step 5: Solve for x
    x = 2,053,106.96/1,652.12
  6. Step 6: Final answer
    x = 1,242.71

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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.