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Finding the Fourth Proportional to 9,477.92, 14,187.72 and 8,078.24

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Solution

The fourth proportional to 9,477.92, 14,187.72 and 8,078.24 is: 12,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.92 : 14,187.72 = 8,078.24 : x
  2. Step 2: Convert to fraction form
    9,477.92/14,187.72 = 8,078.24/x
  3. Step 3: Cross multiply
    9,477.92x = 14,187.72 × 8,078.24
  4. Step 4: Simplify right side
    9,477.92x = 114,611,807.21
  5. Step 5: Solve for x
    x = 114,611,807.21/9,477.92
  6. Step 6: Final answer
    x = 12,092.51

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1.5x scale

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.