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Finding the Fourth Proportional to 6,998.60, 9,656.42 and 3,973.07

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Solution

The fourth proportional to 6,998.60, 9,656.42 and 3,973.07 is: 5,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.60 : 9,656.42 = 3,973.07 : x
  2. Step 2: Convert to fraction form
    6,998.60/9,656.42 = 3,973.07/x
  3. Step 3: Cross multiply
    6,998.60x = 9,656.42 × 3,973.07
  4. Step 4: Simplify right side
    6,998.60x = 38,365,582.57
  5. Step 5: Solve for x
    x = 38,365,582.57/6,998.60
  6. Step 6: Final answer
    x = 5,481.89

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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.