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Finding the Fourth Proportional to 14,951.78, 20,631.91 and 9,208.32

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Solution

The fourth proportional to 14,951.78, 20,631.91 and 9,208.32 is: 12,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.78 : 20,631.91 = 9,208.32 : x
  2. Step 2: Convert to fraction form
    14,951.78/20,631.91 = 9,208.32/x
  3. Step 3: Cross multiply
    14,951.78x = 20,631.91 × 9,208.32
  4. Step 4: Simplify right side
    14,951.78x = 189,985,229.49
  5. Step 5: Solve for x
    x = 189,985,229.49/14,951.78
  6. Step 6: Final answer
    x = 12,706.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.