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Finding the Fourth Proportional to 12,335.80, 18,506 and 4,013.56

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Solution

The fourth proportional to 12,335.80, 18,506 and 4,013.56 is: 6,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.80 : 18,506 = 4,013.56 : x
  2. Step 2: Convert to fraction form
    12,335.80/18,506 = 4,013.56/x
  3. Step 3: Cross multiply
    12,335.80x = 18,506 × 4,013.56
  4. Step 4: Simplify right side
    12,335.80x = 74,274,941.36
  5. Step 5: Solve for x
    x = 74,274,941.36/12,335.80
  6. Step 6: Final answer
    x = 6,021.09

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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.