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Finding the Fourth Proportional to 1,915.60, 2,868.87 and 941.98

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Solution

The fourth proportional to 1,915.60, 2,868.87 and 941.98 is: 1,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.60 : 2,868.87 = 941.98 : x
  2. Step 2: Convert to fraction form
    1,915.60/2,868.87 = 941.98/x
  3. Step 3: Cross multiply
    1,915.60x = 2,868.87 × 941.98
  4. Step 4: Simplify right side
    1,915.60x = 2,702,418.16
  5. Step 5: Solve for x
    x = 2,702,418.16/1,915.60
  6. Step 6: Final answer
    x = 1,410.74

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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.