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Finding the Fourth Proportional to 32,209.71, 48,328.95 and 12,489.81

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Solution

The fourth proportional to 32,209.71, 48,328.95 and 12,489.81 is: 18,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.71 : 48,328.95 = 12,489.81 : x
  2. Step 2: Convert to fraction form
    32,209.71/48,328.95 = 12,489.81/x
  3. Step 3: Cross multiply
    32,209.71x = 48,328.95 × 12,489.81
  4. Step 4: Simplify right side
    32,209.71x = 603,619,403.00
  5. Step 5: Solve for x
    x = 603,619,403.00/32,209.71
  6. Step 6: Final answer
    x = 18,740.29

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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.