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Finding the Fourth Proportional to 6,921.42, 9,549.99 and 6,684.30

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Solution

The fourth proportional to 6,921.42, 9,549.99 and 6,684.30 is: 9,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.42 : 9,549.99 = 6,684.30 : x
  2. Step 2: Convert to fraction form
    6,921.42/9,549.99 = 6,684.30/x
  3. Step 3: Cross multiply
    6,921.42x = 9,549.99 × 6,684.30
  4. Step 4: Simplify right side
    6,921.42x = 63,834,998.16
  5. Step 5: Solve for x
    x = 63,834,998.16/6,921.42
  6. Step 6: Final answer
    x = 9,222.82

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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.