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Finding the Fourth Proportional to 30,496.64, 45,797.30 and 18,719.57

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Solution

The fourth proportional to 30,496.64, 45,797.30 and 18,719.57 is: 28,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.64 : 45,797.30 = 18,719.57 : x
  2. Step 2: Convert to fraction form
    30,496.64/45,797.30 = 18,719.57/x
  3. Step 3: Cross multiply
    30,496.64x = 45,797.30 × 18,719.57
  4. Step 4: Simplify right side
    30,496.64x = 857,305,534.17
  5. Step 5: Solve for x
    x = 857,305,534.17/30,496.64
  6. Step 6: Final answer
    x = 28,111.48

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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.