Home / 1,526.93-2,107.19-828.31

Finding the Fourth Proportional to 1,526.93, 2,107.19 and 828.31

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Solution

The fourth proportional to 1,526.93, 2,107.19 and 828.31 is: 1,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.93 : 2,107.19 = 828.31 : x
  2. Step 2: Convert to fraction form
    1,526.93/2,107.19 = 828.31/x
  3. Step 3: Cross multiply
    1,526.93x = 2,107.19 × 828.31
  4. Step 4: Simplify right side
    1,526.93x = 1,745,397.14
  5. Step 5: Solve for x
    x = 1,745,397.14/1,526.93
  6. Step 6: Final answer
    x = 1,143.07

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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.