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Finding the Fourth Proportional to 6,761.81, 9,263.53 and 6,509.12

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Solution

The fourth proportional to 6,761.81, 9,263.53 and 6,509.12 is: 8,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.81 : 9,263.53 = 6,509.12 : x
  2. Step 2: Convert to fraction form
    6,761.81/9,263.53 = 6,509.12/x
  3. Step 3: Cross multiply
    6,761.81x = 9,263.53 × 6,509.12
  4. Step 4: Simplify right side
    6,761.81x = 60,297,428.39
  5. Step 5: Solve for x
    x = 60,297,428.39/6,761.81
  6. Step 6: Final answer
    x = 8,917.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.