Home / 1,527.15-2,107.49-828.53

Finding the Fourth Proportional to 1,527.15, 2,107.49 and 828.53

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Solution

The fourth proportional to 1,527.15, 2,107.49 and 828.53 is: 1,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.15 : 2,107.49 = 828.53 : x
  2. Step 2: Convert to fraction form
    1,527.15/2,107.49 = 828.53/x
  3. Step 3: Cross multiply
    1,527.15x = 2,107.49 × 828.53
  4. Step 4: Simplify right side
    1,527.15x = 1,746,111.91
  5. Step 5: Solve for x
    x = 1,746,111.91/1,527.15
  6. Step 6: Final answer
    x = 1,143.38

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1.5x scale

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.