Home / 1,534.28-2,117.31-835.70

Finding the Fourth Proportional to 1,534.28, 2,117.31 and 835.70

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Solution

The fourth proportional to 1,534.28, 2,117.31 and 835.70 is: 1,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.28 : 2,117.31 = 835.70 : x
  2. Step 2: Convert to fraction form
    1,534.28/2,117.31 = 835.70/x
  3. Step 3: Cross multiply
    1,534.28x = 2,117.31 × 835.70
  4. Step 4: Simplify right side
    1,534.28x = 1,769,435.97
  5. Step 5: Solve for x
    x = 1,769,435.97/1,534.28
  6. Step 6: Final answer
    x = 1,153.27

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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.