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Finding the Fourth Proportional to 2,643.45, 3,965.63 and 888.62

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Solution

The fourth proportional to 2,643.45, 3,965.63 and 888.62 is: 1,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.45 : 3,965.63 = 888.62 : x
  2. Step 2: Convert to fraction form
    2,643.45/3,965.63 = 888.62/x
  3. Step 3: Cross multiply
    2,643.45x = 3,965.63 × 888.62
  4. Step 4: Simplify right side
    2,643.45x = 3,523,938.13
  5. Step 5: Solve for x
    x = 3,523,938.13/2,643.45
  6. Step 6: Final answer
    x = 1,333.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.