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Finding the Fourth Proportional to 4,356.78, 6,006.40 and 2,994

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Solution

The fourth proportional to 4,356.78, 6,006.40 and 2,994 is: 4,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.78 : 6,006.40 = 2,994 : x
  2. Step 2: Convert to fraction form
    4,356.78/6,006.40 = 2,994/x
  3. Step 3: Cross multiply
    4,356.78x = 6,006.40 × 2,994
  4. Step 4: Simplify right side
    4,356.78x = 17,983,161.60
  5. Step 5: Solve for x
    x = 17,983,161.60/4,356.78
  6. Step 6: Final answer
    x = 4,127.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.