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Finding the Fourth Proportional to 13,280, 19,928.08 and 5,487.80

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Solution

The fourth proportional to 13,280, 19,928.08 and 5,487.80 is: 8,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,280 : 19,928.08 = 5,487.80 : x
  2. Step 2: Convert to fraction form
    13,280/19,928.08 = 5,487.80/x
  3. Step 3: Cross multiply
    13,280x = 19,928.08 × 5,487.80
  4. Step 4: Simplify right side
    13,280x = 109,361,317.42
  5. Step 5: Solve for x
    x = 109,361,317.42/13,280
  6. Step 6: Final answer
    x = 8,235.04

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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.