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Finding the Fourth Proportional to 30,966, 42,725.75 and 18,219.74

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Solution

The fourth proportional to 30,966, 42,725.75 and 18,219.74 is: 25,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966 : 42,725.75 = 18,219.74 : x
  2. Step 2: Convert to fraction form
    30,966/42,725.75 = 18,219.74/x
  3. Step 3: Cross multiply
    30,966x = 42,725.75 × 18,219.74
  4. Step 4: Simplify right side
    30,966x = 778,452,056.31
  5. Step 5: Solve for x
    x = 778,452,056.31/30,966
  6. Step 6: Final answer
    x = 25,138.93

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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.