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Finding the Fourth Proportional to 12,031.64, 18,043.34 and 4,635.48

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Solution

The fourth proportional to 12,031.64, 18,043.34 and 4,635.48 is: 6,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.64 : 18,043.34 = 4,635.48 : x
  2. Step 2: Convert to fraction form
    12,031.64/18,043.34 = 4,635.48/x
  3. Step 3: Cross multiply
    12,031.64x = 18,043.34 × 4,635.48
  4. Step 4: Simplify right side
    12,031.64x = 83,639,541.70
  5. Step 5: Solve for x
    x = 83,639,541.70/12,031.64
  6. Step 6: Final answer
    x = 6,951.63

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