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Finding the Fourth Proportional to 6,998.19, 9,657.48 and 3,854.37

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Solution

The fourth proportional to 6,998.19, 9,657.48 and 3,854.37 is: 5,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.19 : 9,657.48 = 3,854.37 : x
  2. Step 2: Convert to fraction form
    6,998.19/9,657.48 = 3,854.37/x
  3. Step 3: Cross multiply
    6,998.19x = 9,657.48 × 3,854.37
  4. Step 4: Simplify right side
    6,998.19x = 37,223,501.19
  5. Step 5: Solve for x
    x = 37,223,501.19/6,998.19
  6. Step 6: Final answer
    x = 5,319.02

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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.