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Finding the Fourth Proportional to 9,792, 13,515.30 and 5,760.63

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Solution

The fourth proportional to 9,792, 13,515.30 and 5,760.63 is: 7,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792 : 13,515.30 = 5,760.63 : x
  2. Step 2: Convert to fraction form
    9,792/13,515.30 = 5,760.63/x
  3. Step 3: Cross multiply
    9,792x = 13,515.30 × 5,760.63
  4. Step 4: Simplify right side
    9,792x = 77,856,642.64
  5. Step 5: Solve for x
    x = 77,856,642.64/9,792
  6. Step 6: Final answer
    x = 7,951.05

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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.