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Finding the Fourth Proportional to 1,528.98, 2,109.98 and 830.36

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Solution

The fourth proportional to 1,528.98, 2,109.98 and 830.36 is: 1,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.98 : 2,109.98 = 830.36 : x
  2. Step 2: Convert to fraction form
    1,528.98/2,109.98 = 830.36/x
  3. Step 3: Cross multiply
    1,528.98x = 2,109.98 × 830.36
  4. Step 4: Simplify right side
    1,528.98x = 1,752,042.99
  5. Step 5: Solve for x
    x = 1,752,042.99/1,528.98
  6. Step 6: Final answer
    x = 1,145.89

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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.