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Finding the Fourth Proportional to 2,904.36, 4,356.17 and 929.82

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Solution

The fourth proportional to 2,904.36, 4,356.17 and 929.82 is: 1,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.36 : 4,356.17 = 929.82 : x
  2. Step 2: Convert to fraction form
    2,904.36/4,356.17 = 929.82/x
  3. Step 3: Cross multiply
    2,904.36x = 4,356.17 × 929.82
  4. Step 4: Simplify right side
    2,904.36x = 4,050,465.68
  5. Step 5: Solve for x
    x = 4,050,465.68/2,904.36
  6. Step 6: Final answer
    x = 1,394.62

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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.