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Finding the Fourth Proportional to 2,431.74, 3,355.74 and 1,437.12

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Solution

The fourth proportional to 2,431.74, 3,355.74 and 1,437.12 is: 1,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.74 : 3,355.74 = 1,437.12 : x
  2. Step 2: Convert to fraction form
    2,431.74/3,355.74 = 1,437.12/x
  3. Step 3: Cross multiply
    2,431.74x = 3,355.74 × 1,437.12
  4. Step 4: Simplify right side
    2,431.74x = 4,822,601.07
  5. Step 5: Solve for x
    x = 4,822,601.07/2,431.74
  6. Step 6: Final answer
    x = 1,983.19

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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.