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Finding the Fourth Proportional to 5,823.60, 8,736.76 and 1,928

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Solution

The fourth proportional to 5,823.60, 8,736.76 and 1,928 is: 2,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.60 : 8,736.76 = 1,928 : x
  2. Step 2: Convert to fraction form
    5,823.60/8,736.76 = 1,928/x
  3. Step 3: Cross multiply
    5,823.60x = 8,736.76 × 1,928
  4. Step 4: Simplify right side
    5,823.60x = 16,844,473.28
  5. Step 5: Solve for x
    x = 16,844,473.28/5,823.60
  6. Step 6: Final answer
    x = 2,892.45

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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.