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Finding the Fourth Proportional to 6,806.81, 9,364.24 and 6,515.21

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Solution

The fourth proportional to 6,806.81, 9,364.24 and 6,515.21 is: 8,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.81 : 9,364.24 = 6,515.21 : x
  2. Step 2: Convert to fraction form
    6,806.81/9,364.24 = 6,515.21/x
  3. Step 3: Cross multiply
    6,806.81x = 9,364.24 × 6,515.21
  4. Step 4: Simplify right side
    6,806.81x = 61,009,997.21
  5. Step 5: Solve for x
    x = 61,009,997.21/6,806.81
  6. Step 6: Final answer
    x = 8,963.08

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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.