Home / 1,529.34-2,110.44-830.71

Finding the Fourth Proportional to 1,529.34, 2,110.44 and 830.71

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Solution

The fourth proportional to 1,529.34, 2,110.44 and 830.71 is: 1,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.34 : 2,110.44 = 830.71 : x
  2. Step 2: Convert to fraction form
    1,529.34/2,110.44 = 830.71/x
  3. Step 3: Cross multiply
    1,529.34x = 2,110.44 × 830.71
  4. Step 4: Simplify right side
    1,529.34x = 1,753,163.61
  5. Step 5: Solve for x
    x = 1,753,163.61/1,529.34
  6. Step 6: Final answer
    x = 1,146.35

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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.