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Finding the Fourth Proportional to 30,224.64, 45,350.64 and 15,426

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Solution

The fourth proportional to 30,224.64, 45,350.64 and 15,426 is: 23,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224.64 : 45,350.64 = 15,426 : x
  2. Step 2: Convert to fraction form
    30,224.64/45,350.64 = 15,426/x
  3. Step 3: Cross multiply
    30,224.64x = 45,350.64 × 15,426
  4. Step 4: Simplify right side
    30,224.64x = 699,578,972.64
  5. Step 5: Solve for x
    x = 699,578,972.64/30,224.64
  6. Step 6: Final answer
    x = 23,145.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.