Home / 1,529.16-2,110.24-830.53

Finding the Fourth Proportional to 1,529.16, 2,110.24 and 830.53

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Solution

The fourth proportional to 1,529.16, 2,110.24 and 830.53 is: 1,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.16 : 2,110.24 = 830.53 : x
  2. Step 2: Convert to fraction form
    1,529.16/2,110.24 = 830.53/x
  3. Step 3: Cross multiply
    1,529.16x = 2,110.24 × 830.53
  4. Step 4: Simplify right side
    1,529.16x = 1,752,621.30
  5. Step 5: Solve for x
    x = 1,752,621.30/1,529.16
  6. Step 6: Final answer
    x = 1,146.14

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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.