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Finding the Fourth Proportional to 2,356.78, 3,244.95 and 2,001.95

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Solution

The fourth proportional to 2,356.78, 3,244.95 and 2,001.95 is: 2,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.78 : 3,244.95 = 2,001.95 : x
  2. Step 2: Convert to fraction form
    2,356.78/3,244.95 = 2,001.95/x
  3. Step 3: Cross multiply
    2,356.78x = 3,244.95 × 2,001.95
  4. Step 4: Simplify right side
    2,356.78x = 6,496,227.65
  5. Step 5: Solve for x
    x = 6,496,227.65/2,356.78
  6. Step 6: Final answer
    x = 2,756.40

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1.5x scale

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.