Home / 1,529.07-2,110.13-830.45

Finding the Fourth Proportional to 1,529.07, 2,110.13 and 830.45

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Solution

The fourth proportional to 1,529.07, 2,110.13 and 830.45 is: 1,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.07 : 2,110.13 = 830.45 : x
  2. Step 2: Convert to fraction form
    1,529.07/2,110.13 = 830.45/x
  3. Step 3: Cross multiply
    1,529.07x = 2,110.13 × 830.45
  4. Step 4: Simplify right side
    1,529.07x = 1,752,342.76
  5. Step 5: Solve for x
    x = 1,752,342.76/1,529.07
  6. Step 6: Final answer
    x = 1,146.02

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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.