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Finding the Fourth Proportional to 2,138.47, 2,952.75 and 1,640.32

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Solution

The fourth proportional to 2,138.47, 2,952.75 and 1,640.32 is: 2,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.47 : 2,952.75 = 1,640.32 : x
  2. Step 2: Convert to fraction form
    2,138.47/2,952.75 = 1,640.32/x
  3. Step 3: Cross multiply
    2,138.47x = 2,952.75 × 1,640.32
  4. Step 4: Simplify right side
    2,138.47x = 4,843,453.65
  5. Step 5: Solve for x
    x = 4,843,453.65/2,138.47
  6. Step 6: Final answer
    x = 2,264.92

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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.