Home / 1,527.17-2,107.50-828.55

Finding the Fourth Proportional to 1,527.17, 2,107.50 and 828.55

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Solution

The fourth proportional to 1,527.17, 2,107.50 and 828.55 is: 1,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.17 : 2,107.50 = 828.55 : x
  2. Step 2: Convert to fraction form
    1,527.17/2,107.50 = 828.55/x
  3. Step 3: Cross multiply
    1,527.17x = 2,107.50 × 828.55
  4. Step 4: Simplify right side
    1,527.17x = 1,746,169.13
  5. Step 5: Solve for x
    x = 1,746,169.13/1,527.17
  6. Step 6: Final answer
    x = 1,143.40

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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.