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Finding the Fourth Proportional to 2,903.40, 4,355.74 and 1,440.68

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Solution

The fourth proportional to 2,903.40, 4,355.74 and 1,440.68 is: 2,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.40 : 4,355.74 = 1,440.68 : x
  2. Step 2: Convert to fraction form
    2,903.40/4,355.74 = 1,440.68/x
  3. Step 3: Cross multiply
    2,903.40x = 4,355.74 × 1,440.68
  4. Step 4: Simplify right side
    2,903.40x = 6,275,227.50
  5. Step 5: Solve for x
    x = 6,275,227.50/2,903.40
  6. Step 6: Final answer
    x = 2,161.34

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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.