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Finding the Fourth Proportional to 3,144.49, 4,716.74 and 1,681.63

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Solution

The fourth proportional to 3,144.49, 4,716.74 and 1,681.63 is: 2,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.49 : 4,716.74 = 1,681.63 : x
  2. Step 2: Convert to fraction form
    3,144.49/4,716.74 = 1,681.63/x
  3. Step 3: Cross multiply
    3,144.49x = 4,716.74 × 1,681.63
  4. Step 4: Simplify right side
    3,144.49x = 7,931,803.08
  5. Step 5: Solve for x
    x = 7,931,803.08/3,144.49
  6. Step 6: Final answer
    x = 2,522.45

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