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Finding the Fourth Proportional to 4,881.09, 7,321.16 and 1,370.78

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Solution

The fourth proportional to 4,881.09, 7,321.16 and 1,370.78 is: 2,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.09 : 7,321.16 = 1,370.78 : x
  2. Step 2: Convert to fraction form
    4,881.09/7,321.16 = 1,370.78/x
  3. Step 3: Cross multiply
    4,881.09x = 7,321.16 × 1,370.78
  4. Step 4: Simplify right side
    4,881.09x = 10,035,699.70
  5. Step 5: Solve for x
    x = 10,035,699.70/4,881.09
  6. Step 6: Final answer
    x = 2,056.04

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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.