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Finding the Fourth Proportional to 2,497.59, 3,446.04 and 1,420.86

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Solution

The fourth proportional to 2,497.59, 3,446.04 and 1,420.86 is: 1,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.59 : 3,446.04 = 1,420.86 : x
  2. Step 2: Convert to fraction form
    2,497.59/3,446.04 = 1,420.86/x
  3. Step 3: Cross multiply
    2,497.59x = 3,446.04 × 1,420.86
  4. Step 4: Simplify right side
    2,497.59x = 4,896,340.39
  5. Step 5: Solve for x
    x = 4,896,340.39/2,497.59
  6. Step 6: Final answer
    x = 1,960.43

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Half scale
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Double scale
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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.