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Finding the Fourth Proportional to 9,120, 13,681.92 and 3,648

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Solution

The fourth proportional to 9,120, 13,681.92 and 3,648 is: 5,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120 : 13,681.92 = 3,648 : x
  2. Step 2: Convert to fraction form
    9,120/13,681.92 = 3,648/x
  3. Step 3: Cross multiply
    9,120x = 13,681.92 × 3,648
  4. Step 4: Simplify right side
    9,120x = 49,911,644.16
  5. Step 5: Solve for x
    x = 49,911,644.16/9,120
  6. Step 6: Final answer
    x = 5,472.77

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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.