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Finding the Fourth Proportional to 6,853.32, 9,457.05 and 3,869.45

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Solution

The fourth proportional to 6,853.32, 9,457.05 and 3,869.45 is: 5,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.32 : 9,457.05 = 3,869.45 : x
  2. Step 2: Convert to fraction form
    6,853.32/9,457.05 = 3,869.45/x
  3. Step 3: Cross multiply
    6,853.32x = 9,457.05 × 3,869.45
  4. Step 4: Simplify right side
    6,853.32x = 36,593,605.77
  5. Step 5: Solve for x
    x = 36,593,605.77/6,853.32
  6. Step 6: Final answer
    x = 5,339.54

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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.