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Finding the Fourth Proportional to 2,406.80, 3,316.20 and 2,406.80

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Solution

The fourth proportional to 2,406.80, 3,316.20 and 2,406.80 is: 3,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.80 : 3,316.20 = 2,406.80 : x
  2. Step 2: Convert to fraction form
    2,406.80/3,316.20 = 2,406.80/x
  3. Step 3: Cross multiply
    2,406.80x = 3,316.20 × 2,406.80
  4. Step 4: Simplify right side
    2,406.80x = 7,981,430.16
  5. Step 5: Solve for x
    x = 7,981,430.16/2,406.80
  6. Step 6: Final answer
    x = 3,316.20

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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.