Home / 1,526.91-2,107.11-828.30

Finding the Fourth Proportional to 1,526.91, 2,107.11 and 828.30

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Solution

The fourth proportional to 1,526.91, 2,107.11 and 828.30 is: 1,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.91 : 2,107.11 = 828.30 : x
  2. Step 2: Convert to fraction form
    1,526.91/2,107.11 = 828.30/x
  3. Step 3: Cross multiply
    1,526.91x = 2,107.11 × 828.30
  4. Step 4: Simplify right side
    1,526.91x = 1,745,319.21
  5. Step 5: Solve for x
    x = 1,745,319.21/1,526.91
  6. Step 6: Final answer
    x = 1,143.04

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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.