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Finding the Fourth Proportional to 30,651, 42,298.38 and 18,712.44

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Solution

The fourth proportional to 30,651, 42,298.38 and 18,712.44 is: 25,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651 : 42,298.38 = 18,712.44 : x
  2. Step 2: Convert to fraction form
    30,651/42,298.38 = 18,712.44/x
  3. Step 3: Cross multiply
    30,651x = 42,298.38 × 18,712.44
  4. Step 4: Simplify right side
    30,651x = 791,505,897.85
  5. Step 5: Solve for x
    x = 791,505,897.85/30,651
  6. Step 6: Final answer
    x = 25,823.17

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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.