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Finding the Fourth Proportional to 4,322.70, 5,965.25 and 2,643.98

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Solution

The fourth proportional to 4,322.70, 5,965.25 and 2,643.98 is: 3,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.70 : 5,965.25 = 2,643.98 : x
  2. Step 2: Convert to fraction form
    4,322.70/5,965.25 = 2,643.98/x
  3. Step 3: Cross multiply
    4,322.70x = 5,965.25 × 2,643.98
  4. Step 4: Simplify right side
    4,322.70x = 15,772,008.98
  5. Step 5: Solve for x
    x = 15,772,008.98/4,322.70
  6. Step 6: Final answer
    x = 3,648.65

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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.