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Finding the Fourth Proportional to 10,988.64, 16,468.56 and 9,576

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Solution

The fourth proportional to 10,988.64, 16,468.56 and 9,576 is: 14,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988.64 : 16,468.56 = 9,576 : x
  2. Step 2: Convert to fraction form
    10,988.64/16,468.56 = 9,576/x
  3. Step 3: Cross multiply
    10,988.64x = 16,468.56 × 9,576
  4. Step 4: Simplify right side
    10,988.64x = 157,702,930.56
  5. Step 5: Solve for x
    x = 157,702,930.56/10,988.64
  6. Step 6: Final answer
    x = 14,351.45

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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.