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Finding the Fourth Proportional to 30,703, 42,370.14 and 17,455

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Solution

The fourth proportional to 30,703, 42,370.14 and 17,455 is: 24,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703 : 42,370.14 = 17,455 : x
  2. Step 2: Convert to fraction form
    30,703/42,370.14 = 17,455/x
  3. Step 3: Cross multiply
    30,703x = 42,370.14 × 17,455
  4. Step 4: Simplify right side
    30,703x = 739,570,793.70
  5. Step 5: Solve for x
    x = 739,570,793.70/30,703
  6. Step 6: Final answer
    x = 24,087.90

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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.