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Finding the Fourth Proportional to 9,792, 13,515.84 and 6,065.28

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Solution

The fourth proportional to 9,792, 13,515.84 and 6,065.28 is: 8,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792 : 13,515.84 = 6,065.28 : x
  2. Step 2: Convert to fraction form
    9,792/13,515.84 = 6,065.28/x
  3. Step 3: Cross multiply
    9,792x = 13,515.84 × 6,065.28
  4. Step 4: Simplify right side
    9,792x = 81,977,354.04
  5. Step 5: Solve for x
    x = 81,977,354.04/9,792
  6. Step 6: Final answer
    x = 8,371.87

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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.