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Finding the Fourth Proportional to 2,782.40, 3,838.10 and 1,648.40

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Solution

The fourth proportional to 2,782.40, 3,838.10 and 1,648.40 is: 2,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.40 : 3,838.10 = 1,648.40 : x
  2. Step 2: Convert to fraction form
    2,782.40/3,838.10 = 1,648.40/x
  3. Step 3: Cross multiply
    2,782.40x = 3,838.10 × 1,648.40
  4. Step 4: Simplify right side
    2,782.40x = 6,326,724.04
  5. Step 5: Solve for x
    x = 6,326,724.04/2,782.40
  6. Step 6: Final answer
    x = 2,273.84

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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.