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Finding the Fourth Proportional to 30,935.94, 42,691.14 and 17,509.74

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Solution

The fourth proportional to 30,935.94, 42,691.14 and 17,509.74 is: 24,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.94 : 42,691.14 = 17,509.74 : x
  2. Step 2: Convert to fraction form
    30,935.94/42,691.14 = 17,509.74/x
  3. Step 3: Cross multiply
    30,935.94x = 42,691.14 × 17,509.74
  4. Step 4: Simplify right side
    30,935.94x = 747,510,761.70
  5. Step 5: Solve for x
    x = 747,510,761.70/30,935.94
  6. Step 6: Final answer
    x = 24,163.18

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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.