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Finding the Fourth Proportional to 4,903.64, 7,356.68 and 1,440.90

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Solution

The fourth proportional to 4,903.64, 7,356.68 and 1,440.90 is: 2,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.64 : 7,356.68 = 1,440.90 : x
  2. Step 2: Convert to fraction form
    4,903.64/7,356.68 = 1,440.90/x
  3. Step 3: Cross multiply
    4,903.64x = 7,356.68 × 1,440.90
  4. Step 4: Simplify right side
    4,903.64x = 10,600,240.21
  5. Step 5: Solve for x
    x = 10,600,240.21/4,903.64
  6. Step 6: Final answer
    x = 2,161.71

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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.