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Finding the Fourth Proportional to 30,416.78, 41,974.12 and 16,987.93

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Solution

The fourth proportional to 30,416.78, 41,974.12 and 16,987.93 is: 23,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.78 : 41,974.12 = 16,987.93 : x
  2. Step 2: Convert to fraction form
    30,416.78/41,974.12 = 16,987.93/x
  3. Step 3: Cross multiply
    30,416.78x = 41,974.12 × 16,987.93
  4. Step 4: Simplify right side
    30,416.78x = 713,053,412.37
  5. Step 5: Solve for x
    x = 713,053,412.37/30,416.78
  6. Step 6: Final answer
    x = 23,442.76

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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.