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Finding the Fourth Proportional to 1,789.08, 2,468.70 and 992.40

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Solution

The fourth proportional to 1,789.08, 2,468.70 and 992.40 is: 1,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.08 : 2,468.70 = 992.40 : x
  2. Step 2: Convert to fraction form
    1,789.08/2,468.70 = 992.40/x
  3. Step 3: Cross multiply
    1,789.08x = 2,468.70 × 992.40
  4. Step 4: Simplify right side
    1,789.08x = 2,449,937.88
  5. Step 5: Solve for x
    x = 2,449,937.88/1,789.08
  6. Step 6: Final answer
    x = 1,369.38

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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.