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Finding the Fourth Proportional to 2,468.66, 3,407.07 and 1,420.72

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Solution

The fourth proportional to 2,468.66, 3,407.07 and 1,420.72 is: 1,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.66 : 3,407.07 = 1,420.72 : x
  2. Step 2: Convert to fraction form
    2,468.66/3,407.07 = 1,420.72/x
  3. Step 3: Cross multiply
    2,468.66x = 3,407.07 × 1,420.72
  4. Step 4: Simplify right side
    2,468.66x = 4,840,492.49
  5. Step 5: Solve for x
    x = 4,840,492.49/2,468.66
  6. Step 6: Final answer
    x = 1,960.78

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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.