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Finding the Fourth Proportional to 2,635.49, 3,953.91 and 992.51

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Solution

The fourth proportional to 2,635.49, 3,953.91 and 992.51 is: 1,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.49 : 3,953.91 = 992.51 : x
  2. Step 2: Convert to fraction form
    2,635.49/3,953.91 = 992.51/x
  3. Step 3: Cross multiply
    2,635.49x = 3,953.91 × 992.51
  4. Step 4: Simplify right side
    2,635.49x = 3,924,295.21
  5. Step 5: Solve for x
    x = 3,924,295.21/2,635.49
  6. Step 6: Final answer
    x = 1,489.02

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1.5x scale

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.