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Finding the Fourth Proportional to 2,266.34, 3,125.50 and 1,468.86

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Solution

The fourth proportional to 2,266.34, 3,125.50 and 1,468.86 is: 2,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.34 : 3,125.50 = 1,468.86 : x
  2. Step 2: Convert to fraction form
    2,266.34/3,125.50 = 1,468.86/x
  3. Step 3: Cross multiply
    2,266.34x = 3,125.50 × 1,468.86
  4. Step 4: Simplify right side
    2,266.34x = 4,590,921.93
  5. Step 5: Solve for x
    x = 4,590,921.93/2,266.34
  6. Step 6: Final answer
    x = 2,025.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.