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Finding the Fourth Proportional to 32,409.60, 48,619.80 and 12,688.80

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Solution

The fourth proportional to 32,409.60, 48,619.80 and 12,688.80 is: 19,035.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.60 : 48,619.80 = 12,688.80 : x
  2. Step 2: Convert to fraction form
    32,409.60/48,619.80 = 12,688.80/x
  3. Step 3: Cross multiply
    32,409.60x = 48,619.80 × 12,688.80
  4. Step 4: Simplify right side
    32,409.60x = 616,926,918.24
  5. Step 5: Solve for x
    x = 616,926,918.24/32,409.60
  6. Step 6: Final answer
    x = 19,035.31

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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.