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Finding the Fourth Proportional to 15,616.96, 21,549.28 and 9,328

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Solution

The fourth proportional to 15,616.96, 21,549.28 and 9,328 is: 12,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.96 : 21,549.28 = 9,328 : x
  2. Step 2: Convert to fraction form
    15,616.96/21,549.28 = 9,328/x
  3. Step 3: Cross multiply
    15,616.96x = 21,549.28 × 9,328
  4. Step 4: Simplify right side
    15,616.96x = 201,011,683.84
  5. Step 5: Solve for x
    x = 201,011,683.84/15,616.96
  6. Step 6: Final answer
    x = 12,871.37

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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.