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Finding the Fourth Proportional to 6,813.79, 9,403.28 and 4,162.39

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Solution

The fourth proportional to 6,813.79, 9,403.28 and 4,162.39 is: 5,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.79 : 9,403.28 = 4,162.39 : x
  2. Step 2: Convert to fraction form
    6,813.79/9,403.28 = 4,162.39/x
  3. Step 3: Cross multiply
    6,813.79x = 9,403.28 × 4,162.39
  4. Step 4: Simplify right side
    6,813.79x = 39,140,118.64
  5. Step 5: Solve for x
    x = 39,140,118.64/6,813.79
  6. Step 6: Final answer
    x = 5,744.25

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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.