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Finding the Fourth Proportional to 1,926.90, 2,888.37 and 830.34

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Solution

The fourth proportional to 1,926.90, 2,888.37 and 830.34 is: 1,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.90 : 2,888.37 = 830.34 : x
  2. Step 2: Convert to fraction form
    1,926.90/2,888.37 = 830.34/x
  3. Step 3: Cross multiply
    1,926.90x = 2,888.37 × 830.34
  4. Step 4: Simplify right side
    1,926.90x = 2,398,329.15
  5. Step 5: Solve for x
    x = 2,398,329.15/1,926.90
  6. Step 6: Final answer
    x = 1,244.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.