Home / 1,527-2,106.42-1,085.56

Finding the Fourth Proportional to 1,527, 2,106.42 and 1,085.56

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Solution

The fourth proportional to 1,527, 2,106.42 and 1,085.56 is: 1,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527 : 2,106.42 = 1,085.56 : x
  2. Step 2: Convert to fraction form
    1,527/2,106.42 = 1,085.56/x
  3. Step 3: Cross multiply
    1,527x = 2,106.42 × 1,085.56
  4. Step 4: Simplify right side
    1,527x = 2,286,645.30
  5. Step 5: Solve for x
    x = 2,286,645.30/1,527
  6. Step 6: Final answer
    x = 1,497.48

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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.