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Finding the Fourth Proportional to 9,871.49, 14,809.58 and 2,945.81

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Solution

The fourth proportional to 9,871.49, 14,809.58 and 2,945.81 is: 4,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.49 : 14,809.58 = 2,945.81 : x
  2. Step 2: Convert to fraction form
    9,871.49/14,809.58 = 2,945.81/x
  3. Step 3: Cross multiply
    9,871.49x = 14,809.58 × 2,945.81
  4. Step 4: Simplify right side
    9,871.49x = 43,626,242.20
  5. Step 5: Solve for x
    x = 43,626,242.20/9,871.49
  6. Step 6: Final answer
    x = 4,419.42

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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.