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Finding the Fourth Proportional to 2,485.32, 3,727.32 and 1,313.74

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Solution

The fourth proportional to 2,485.32, 3,727.32 and 1,313.74 is: 1,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.32 : 3,727.32 = 1,313.74 : x
  2. Step 2: Convert to fraction form
    2,485.32/3,727.32 = 1,313.74/x
  3. Step 3: Cross multiply
    2,485.32x = 3,727.32 × 1,313.74
  4. Step 4: Simplify right side
    2,485.32x = 4,896,729.38
  5. Step 5: Solve for x
    x = 4,896,729.38/2,485.32
  6. Step 6: Final answer
    x = 1,970.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.