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Finding the Fourth Proportional to 9,711.25, 13,401 and 5,730.91

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Solution

The fourth proportional to 9,711.25, 13,401 and 5,730.91 is: 7,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.25 : 13,401 = 5,730.91 : x
  2. Step 2: Convert to fraction form
    9,711.25/13,401 = 5,730.91/x
  3. Step 3: Cross multiply
    9,711.25x = 13,401 × 5,730.91
  4. Step 4: Simplify right side
    9,711.25x = 76,799,891.41
  5. Step 5: Solve for x
    x = 76,799,891.41/9,711.25
  6. Step 6: Final answer
    x = 7,908.34

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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.