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Finding the Fourth Proportional to 6,909.27, 9,472.71 and 6,784.74

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Solution

The fourth proportional to 6,909.27, 9,472.71 and 6,784.74 is: 9,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.27 : 9,472.71 = 6,784.74 : x
  2. Step 2: Convert to fraction form
    6,909.27/9,472.71 = 6,784.74/x
  3. Step 3: Cross multiply
    6,909.27x = 9,472.71 × 6,784.74
  4. Step 4: Simplify right side
    6,909.27x = 64,269,874.45
  5. Step 5: Solve for x
    x = 64,269,874.45/6,909.27
  6. Step 6: Final answer
    x = 9,301.98

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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.