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Finding the Fourth Proportional to 12,461.30, 18,686.49 and 4,664.65

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Solution

The fourth proportional to 12,461.30, 18,686.49 and 4,664.65 is: 6,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.30 : 18,686.49 = 4,664.65 : x
  2. Step 2: Convert to fraction form
    12,461.30/18,686.49 = 4,664.65/x
  3. Step 3: Cross multiply
    12,461.30x = 18,686.49 × 4,664.65
  4. Step 4: Simplify right side
    12,461.30x = 87,165,900.56
  5. Step 5: Solve for x
    x = 87,165,900.56/12,461.30
  6. Step 6: Final answer
    x = 6,994.93

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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.