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Finding the Fourth Proportional to 2,980.96, 4,117.80 and 2,420.80

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Solution

The fourth proportional to 2,980.96, 4,117.80 and 2,420.80 is: 3,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.96 : 4,117.80 = 2,420.80 : x
  2. Step 2: Convert to fraction form
    2,980.96/4,117.80 = 2,420.80/x
  3. Step 3: Cross multiply
    2,980.96x = 4,117.80 × 2,420.80
  4. Step 4: Simplify right side
    2,980.96x = 9,968,370.24
  5. Step 5: Solve for x
    x = 9,968,370.24/2,980.96
  6. Step 6: Final answer
    x = 3,344.01

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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.