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Finding the Fourth Proportional to 3,333.78, 4,598.10 and 2,007

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Solution

The fourth proportional to 3,333.78, 4,598.10 and 2,007 is: 2,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.78 : 4,598.10 = 2,007 : x
  2. Step 2: Convert to fraction form
    3,333.78/4,598.10 = 2,007/x
  3. Step 3: Cross multiply
    3,333.78x = 4,598.10 × 2,007
  4. Step 4: Simplify right side
    3,333.78x = 9,228,386.70
  5. Step 5: Solve for x
    x = 9,228,386.70/3,333.78
  6. Step 6: Final answer
    x = 2,768.15

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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.