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Finding the Fourth Proportional to 6,970.80, 10,456.20 and 3,460.68

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Solution

The fourth proportional to 6,970.80, 10,456.20 and 3,460.68 is: 5,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.80 : 10,456.20 = 3,460.68 : x
  2. Step 2: Convert to fraction form
    6,970.80/10,456.20 = 3,460.68/x
  3. Step 3: Cross multiply
    6,970.80x = 10,456.20 × 3,460.68
  4. Step 4: Simplify right side
    6,970.80x = 36,185,562.22
  5. Step 5: Solve for x
    x = 36,185,562.22/6,970.80
  6. Step 6: Final answer
    x = 5,191.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.