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Finding the Fourth Proportional to 9,174, 12,660.12 and 5,637.12

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Solution

The fourth proportional to 9,174, 12,660.12 and 5,637.12 is: 7,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174 : 12,660.12 = 5,637.12 : x
  2. Step 2: Convert to fraction form
    9,174/12,660.12 = 5,637.12/x
  3. Step 3: Cross multiply
    9,174x = 12,660.12 × 5,637.12
  4. Step 4: Simplify right side
    9,174x = 71,366,615.65
  5. Step 5: Solve for x
    x = 71,366,615.65/9,174
  6. Step 6: Final answer
    x = 7,779.23

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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.