Home / 1,109.64-1,527.96-1,085.40

Finding the Fourth Proportional to 1,109.64, 1,527.96 and 1,085.40

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Solution

The fourth proportional to 1,109.64, 1,527.96 and 1,085.40 is: 1,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.64 : 1,527.96 = 1,085.40 : x
  2. Step 2: Convert to fraction form
    1,109.64/1,527.96 = 1,085.40/x
  3. Step 3: Cross multiply
    1,109.64x = 1,527.96 × 1,085.40
  4. Step 4: Simplify right side
    1,109.64x = 1,658,447.78
  5. Step 5: Solve for x
    x = 1,658,447.78/1,109.64
  6. Step 6: Final answer
    x = 1,494.58

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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.