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Finding the Fourth Proportional to 2,468.76, 3,407.30 and 1,420.60

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Solution

The fourth proportional to 2,468.76, 3,407.30 and 1,420.60 is: 1,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.76 : 3,407.30 = 1,420.60 : x
  2. Step 2: Convert to fraction form
    2,468.76/3,407.30 = 1,420.60/x
  3. Step 3: Cross multiply
    2,468.76x = 3,407.30 × 1,420.60
  4. Step 4: Simplify right side
    2,468.76x = 4,840,410.38
  5. Step 5: Solve for x
    x = 4,840,410.38/2,468.76
  6. Step 6: Final answer
    x = 1,960.66

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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.