Home / 1,534.56-2,117.72-835.96

Finding the Fourth Proportional to 1,534.56, 2,117.72 and 835.96

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Solution

The fourth proportional to 1,534.56, 2,117.72 and 835.96 is: 1,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.56 : 2,117.72 = 835.96 : x
  2. Step 2: Convert to fraction form
    1,534.56/2,117.72 = 835.96/x
  3. Step 3: Cross multiply
    1,534.56x = 2,117.72 × 835.96
  4. Step 4: Simplify right side
    1,534.56x = 1,770,329.21
  5. Step 5: Solve for x
    x = 1,770,329.21/1,534.56
  6. Step 6: Final answer
    x = 1,153.64

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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.