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Finding the Fourth Proportional to 5,215.64, 7,821.95 and 1,928.48

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Solution

The fourth proportional to 5,215.64, 7,821.95 and 1,928.48 is: 2,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.64 : 7,821.95 = 1,928.48 : x
  2. Step 2: Convert to fraction form
    5,215.64/7,821.95 = 1,928.48/x
  3. Step 3: Cross multiply
    5,215.64x = 7,821.95 × 1,928.48
  4. Step 4: Simplify right side
    5,215.64x = 15,084,425.38
  5. Step 5: Solve for x
    x = 15,084,425.38/5,215.64
  6. Step 6: Final answer
    x = 2,892.16

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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.