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Finding the Fourth Proportional to 9,760.71, 13,469.70 and 5,511.78

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Solution

The fourth proportional to 9,760.71, 13,469.70 and 5,511.78 is: 7,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.71 : 13,469.70 = 5,511.78 : x
  2. Step 2: Convert to fraction form
    9,760.71/13,469.70 = 5,511.78/x
  3. Step 3: Cross multiply
    9,760.71x = 13,469.70 × 5,511.78
  4. Step 4: Simplify right side
    9,760.71x = 74,242,023.07
  5. Step 5: Solve for x
    x = 74,242,023.07/9,760.71
  6. Step 6: Final answer
    x = 7,606.21

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1.5x scale

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.