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Finding the Fourth Proportional to 6,809.76, 9,390.29 and 5,391.15

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Solution

The fourth proportional to 6,809.76, 9,390.29 and 5,391.15 is: 7,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.76 : 9,390.29 = 5,391.15 : x
  2. Step 2: Convert to fraction form
    6,809.76/9,390.29 = 5,391.15/x
  3. Step 3: Cross multiply
    6,809.76x = 9,390.29 × 5,391.15
  4. Step 4: Simplify right side
    6,809.76x = 50,624,461.93
  5. Step 5: Solve for x
    x = 50,624,461.93/6,809.76
  6. Step 6: Final answer
    x = 7,434.10

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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.