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Finding the Fourth Proportional to 6,688.17, 9,169.61 and 6,569.64

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Solution

The fourth proportional to 6,688.17, 9,169.61 and 6,569.64 is: 9,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.17 : 9,169.61 = 6,569.64 : x
  2. Step 2: Convert to fraction form
    6,688.17/9,169.61 = 6,569.64/x
  3. Step 3: Cross multiply
    6,688.17x = 9,169.61 × 6,569.64
  4. Step 4: Simplify right side
    6,688.17x = 60,241,003.79
  5. Step 5: Solve for x
    x = 60,241,003.79/6,688.17
  6. Step 6: Final answer
    x = 9,007.10

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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.