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Finding the Fourth Proportional to 5,241.79, 7,862.43 and 1,954.63

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Solution

The fourth proportional to 5,241.79, 7,862.43 and 1,954.63 is: 2,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.79 : 7,862.43 = 1,954.63 : x
  2. Step 2: Convert to fraction form
    5,241.79/7,862.43 = 1,954.63/x
  3. Step 3: Cross multiply
    5,241.79x = 7,862.43 × 1,954.63
  4. Step 4: Simplify right side
    5,241.79x = 15,368,103.49
  5. Step 5: Solve for x
    x = 15,368,103.49/5,241.79
  6. Step 6: Final answer
    x = 2,931.84

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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.