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Finding the Fourth Proportional to 6,853.40, 9,457.86 and 3,869.29

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Solution

The fourth proportional to 6,853.40, 9,457.86 and 3,869.29 is: 5,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.40 : 9,457.86 = 3,869.29 : x
  2. Step 2: Convert to fraction form
    6,853.40/9,457.86 = 3,869.29/x
  3. Step 3: Cross multiply
    6,853.40x = 9,457.86 × 3,869.29
  4. Step 4: Simplify right side
    6,853.40x = 36,595,203.12
  5. Step 5: Solve for x
    x = 36,595,203.12/6,853.40
  6. Step 6: Final answer
    x = 5,339.72

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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.