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Finding the Fourth Proportional to 2,715.88, 4,074.62 and 937.40

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Solution

The fourth proportional to 2,715.88, 4,074.62 and 937.40 is: 1,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.88 : 4,074.62 = 937.40 : x
  2. Step 2: Convert to fraction form
    2,715.88/4,074.62 = 937.40/x
  3. Step 3: Cross multiply
    2,715.88x = 4,074.62 × 937.40
  4. Step 4: Simplify right side
    2,715.88x = 3,819,548.79
  5. Step 5: Solve for x
    x = 3,819,548.79/2,715.88
  6. Step 6: Final answer
    x = 1,406.38

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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.