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Finding the Fourth Proportional to 27,509.36, 41,264.08 and 9,979.20

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Solution

The fourth proportional to 27,509.36, 41,264.08 and 9,979.20 is: 14,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.36 : 41,264.08 = 9,979.20 : x
  2. Step 2: Convert to fraction form
    27,509.36/41,264.08 = 9,979.20/x
  3. Step 3: Cross multiply
    27,509.36x = 41,264.08 × 9,979.20
  4. Step 4: Simplify right side
    27,509.36x = 411,782,507.14
  5. Step 5: Solve for x
    x = 411,782,507.14/27,509.36
  6. Step 6: Final answer
    x = 14,968.81

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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.