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Finding the Fourth Proportional to 12,263.29, 18,406.49 and 6,424

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Solution

The fourth proportional to 12,263.29, 18,406.49 and 6,424 is: 9,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.29 : 18,406.49 = 6,424 : x
  2. Step 2: Convert to fraction form
    12,263.29/18,406.49 = 6,424/x
  3. Step 3: Cross multiply
    12,263.29x = 18,406.49 × 6,424
  4. Step 4: Simplify right side
    12,263.29x = 118,243,291.76
  5. Step 5: Solve for x
    x = 118,243,291.76/12,263.29
  6. Step 6: Final answer
    x = 9,642.05

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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.