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Finding the Fourth Proportional to 1,926.02, 2,886.60 and 829.28

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Solution

The fourth proportional to 1,926.02, 2,886.60 and 829.28 is: 1,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.02 : 2,886.60 = 829.28 : x
  2. Step 2: Convert to fraction form
    1,926.02/2,886.60 = 829.28/x
  3. Step 3: Cross multiply
    1,926.02x = 2,886.60 × 829.28
  4. Step 4: Simplify right side
    1,926.02x = 2,393,799.65
  5. Step 5: Solve for x
    x = 2,393,799.65/1,926.02
  6. Step 6: Final answer
    x = 1,242.87

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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.