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Finding the Fourth Proportional to 30,702.50, 42,369.45 and 17,454.50

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Solution

The fourth proportional to 30,702.50, 42,369.45 and 17,454.50 is: 24,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.50 : 42,369.45 = 17,454.50 : x
  2. Step 2: Convert to fraction form
    30,702.50/42,369.45 = 17,454.50/x
  3. Step 3: Cross multiply
    30,702.50x = 42,369.45 × 17,454.50
  4. Step 4: Simplify right side
    30,702.50x = 739,537,565.03
  5. Step 5: Solve for x
    x = 739,537,565.03/30,702.50
  6. Step 6: Final answer
    x = 24,087.21

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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.