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Finding the Fourth Proportional to 2,492.13, 3,738.20 and 643.23

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Solution

The fourth proportional to 2,492.13, 3,738.20 and 643.23 is: 964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.13 : 3,738.20 = 643.23 : x
  2. Step 2: Convert to fraction form
    2,492.13/3,738.20 = 643.23/x
  3. Step 3: Cross multiply
    2,492.13x = 3,738.20 × 643.23
  4. Step 4: Simplify right side
    2,492.13x = 2,404,519.17
  5. Step 5: Solve for x
    x = 2,404,519.17/2,492.13
  6. Step 6: Final answer
    x = 964.84

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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.