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Finding the Fourth Proportional to 30,702.25, 42,369.11 and 17,454.25

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Solution

The fourth proportional to 30,702.25, 42,369.11 and 17,454.25 is: 24,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.25 : 42,369.11 = 17,454.25 : x
  2. Step 2: Convert to fraction form
    30,702.25/42,369.11 = 17,454.25/x
  3. Step 3: Cross multiply
    30,702.25x = 42,369.11 × 17,454.25
  4. Step 4: Simplify right side
    30,702.25x = 739,520,950.95
  5. Step 5: Solve for x
    x = 739,520,950.95/30,702.25
  6. Step 6: Final answer
    x = 24,086.87

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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.