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Finding the Fourth Proportional to 1,929.62, 2,894.43 and 468.78

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Solution

The fourth proportional to 1,929.62, 2,894.43 and 468.78 is: 703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.62 : 2,894.43 = 468.78 : x
  2. Step 2: Convert to fraction form
    1,929.62/2,894.43 = 468.78/x
  3. Step 3: Cross multiply
    1,929.62x = 2,894.43 × 468.78
  4. Step 4: Simplify right side
    1,929.62x = 1,356,844.25
  5. Step 5: Solve for x
    x = 1,356,844.25/1,929.62
  6. Step 6: Final answer
    x = 703.17

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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.