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Finding the Fourth Proportional to 6,809.18, 9,397.76 and 6,364.49

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Solution

The fourth proportional to 6,809.18, 9,397.76 and 6,364.49 is: 8,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.18 : 9,397.76 = 6,364.49 : x
  2. Step 2: Convert to fraction form
    6,809.18/9,397.76 = 6,364.49/x
  3. Step 3: Cross multiply
    6,809.18x = 9,397.76 × 6,364.49
  4. Step 4: Simplify right side
    6,809.18x = 59,811,870.73
  5. Step 5: Solve for x
    x = 59,811,870.73/6,809.18
  6. Step 6: Final answer
    x = 8,784.01

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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.