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Finding the Fourth Proportional to 25,610, 38,353.08 and 12,429.68

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Solution

The fourth proportional to 25,610, 38,353.08 and 12,429.68 is: 18,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,610 : 38,353.08 = 12,429.68 : x
  2. Step 2: Convert to fraction form
    25,610/38,353.08 = 12,429.68/x
  3. Step 3: Cross multiply
    25,610x = 38,353.08 × 12,429.68
  4. Step 4: Simplify right side
    25,610x = 476,716,511.41
  5. Step 5: Solve for x
    x = 476,716,511.41/25,610
  6. Step 6: Final answer
    x = 18,614.47

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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.