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Finding the Fourth Proportional to 9,871.65, 13,622.31 and 5,394.51

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Solution

The fourth proportional to 9,871.65, 13,622.31 and 5,394.51 is: 7,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.65 : 13,622.31 = 5,394.51 : x
  2. Step 2: Convert to fraction form
    9,871.65/13,622.31 = 5,394.51/x
  3. Step 3: Cross multiply
    9,871.65x = 13,622.31 × 5,394.51
  4. Step 4: Simplify right side
    9,871.65x = 73,485,687.52
  5. Step 5: Solve for x
    x = 73,485,687.52/9,871.65
  6. Step 6: Final answer
    x = 7,444.11

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Why These Related Problems?

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