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Finding the Fourth Proportional to 19,257.52, 28,880.40 and 8,164

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Solution

The fourth proportional to 19,257.52, 28,880.40 and 8,164 is: 12,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,257.52 : 28,880.40 = 8,164 : x
  2. Step 2: Convert to fraction form
    19,257.52/28,880.40 = 8,164/x
  3. Step 3: Cross multiply
    19,257.52x = 28,880.40 × 8,164
  4. Step 4: Simplify right side
    19,257.52x = 235,779,585.60
  5. Step 5: Solve for x
    x = 235,779,585.60/19,257.52
  6. Step 6: Final answer
    x = 12,243.51

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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.