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Finding the Fourth Proportional to 30,938.55, 42,695.17 and 17,509.56

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Solution

The fourth proportional to 30,938.55, 42,695.17 and 17,509.56 is: 24,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.55 : 42,695.17 = 17,509.56 : x
  2. Step 2: Convert to fraction form
    30,938.55/42,695.17 = 17,509.56/x
  3. Step 3: Cross multiply
    30,938.55x = 42,695.17 × 17,509.56
  4. Step 4: Simplify right side
    30,938.55x = 747,573,640.83
  5. Step 5: Solve for x
    x = 747,573,640.83/30,938.55
  6. Step 6: Final answer
    x = 24,163.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.