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Finding the Fourth Proportional to 17,776.64, 26,665.28 and 9,968.64

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Solution

The fourth proportional to 17,776.64, 26,665.28 and 9,968.64 is: 14,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.64 : 26,665.28 = 9,968.64 : x
  2. Step 2: Convert to fraction form
    17,776.64/26,665.28 = 9,968.64/x
  3. Step 3: Cross multiply
    17,776.64x = 26,665.28 × 9,968.64
  4. Step 4: Simplify right side
    17,776.64x = 265,816,576.82
  5. Step 5: Solve for x
    x = 265,816,576.82/17,776.64
  6. Step 6: Final answer
    x = 14,953.14

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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.