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Finding the Fourth Proportional to 30,594.78, 42,219.90 and 18,655.92

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Solution

The fourth proportional to 30,594.78, 42,219.90 and 18,655.92 is: 25,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.78 : 42,219.90 = 18,655.92 : x
  2. Step 2: Convert to fraction form
    30,594.78/42,219.90 = 18,655.92/x
  3. Step 3: Cross multiply
    30,594.78x = 42,219.90 × 18,655.92
  4. Step 4: Simplify right side
    30,594.78x = 787,651,076.81
  5. Step 5: Solve for x
    x = 787,651,076.81/30,594.78
  6. Step 6: Final answer
    x = 25,744.62

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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.