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Finding the Fourth Proportional to 30,603.74, 42,233.47 and 16,992

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Solution

The fourth proportional to 30,603.74, 42,233.47 and 16,992 is: 23,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603.74 : 42,233.47 = 16,992 : x
  2. Step 2: Convert to fraction form
    30,603.74/42,233.47 = 16,992/x
  3. Step 3: Cross multiply
    30,603.74x = 42,233.47 × 16,992
  4. Step 4: Simplify right side
    30,603.74x = 717,631,079.76
  5. Step 5: Solve for x
    x = 717,631,079.76/30,603.74
  6. Step 6: Final answer
    x = 23,449.13

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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.