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Finding the Fourth Proportional to 6,980.58, 9,645.66 and 5,195.25

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Solution

The fourth proportional to 6,980.58, 9,645.66 and 5,195.25 is: 7,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.58 : 9,645.66 = 5,195.25 : x
  2. Step 2: Convert to fraction form
    6,980.58/9,645.66 = 5,195.25/x
  3. Step 3: Cross multiply
    6,980.58x = 9,645.66 × 5,195.25
  4. Step 4: Simplify right side
    6,980.58x = 50,111,615.12
  5. Step 5: Solve for x
    x = 50,111,615.12/6,980.58
  6. Step 6: Final answer
    x = 7,178.72

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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.