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Finding the Fourth Proportional to 30,861, 42,597.90 and 19,683

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Solution

The fourth proportional to 30,861, 42,597.90 and 19,683 is: 27,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861 : 42,597.90 = 19,683 : x
  2. Step 2: Convert to fraction form
    30,861/42,597.90 = 19,683/x
  3. Step 3: Cross multiply
    30,861x = 42,597.90 × 19,683
  4. Step 4: Simplify right side
    30,861x = 838,454,465.70
  5. Step 5: Solve for x
    x = 838,454,465.70/30,861
  6. Step 6: Final answer
    x = 27,168.74

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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.