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Finding the Fourth Proportional to 2,478.66, 3,424.10 and 1,980.64

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Solution

The fourth proportional to 2,478.66, 3,424.10 and 1,980.64 is: 2,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.66 : 3,424.10 = 1,980.64 : x
  2. Step 2: Convert to fraction form
    2,478.66/3,424.10 = 1,980.64/x
  3. Step 3: Cross multiply
    2,478.66x = 3,424.10 × 1,980.64
  4. Step 4: Simplify right side
    2,478.66x = 6,781,909.42
  5. Step 5: Solve for x
    x = 6,781,909.42/2,478.66
  6. Step 6: Final answer
    x = 2,736.12

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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.