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Finding the Fourth Proportional to 2,159.54, 3,216.07 and 2,086.64

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Solution

The fourth proportional to 2,159.54, 3,216.07 and 2,086.64 is: 3,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.54 : 3,216.07 = 2,086.64 : x
  2. Step 2: Convert to fraction form
    2,159.54/3,216.07 = 2,086.64/x
  3. Step 3: Cross multiply
    2,159.54x = 3,216.07 × 2,086.64
  4. Step 4: Simplify right side
    2,159.54x = 6,710,780.30
  5. Step 5: Solve for x
    x = 6,710,780.30/2,159.54
  6. Step 6: Final answer
    x = 3,107.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.