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Finding the Fourth Proportional to 32,400.71, 48,491.29 and 19,928.64

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Solution

The fourth proportional to 32,400.71, 48,491.29 and 19,928.64 is: 29,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.71 : 48,491.29 = 19,928.64 : x
  2. Step 2: Convert to fraction form
    32,400.71/48,491.29 = 19,928.64/x
  3. Step 3: Cross multiply
    32,400.71x = 48,491.29 × 19,928.64
  4. Step 4: Simplify right side
    32,400.71x = 966,365,461.55
  5. Step 5: Solve for x
    x = 966,365,461.55/32,400.71
  6. Step 6: Final answer
    x = 29,825.44

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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.