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Finding the Fourth Proportional to 30,616.54, 45,927.32 and 8,431.72

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Solution

The fourth proportional to 30,616.54, 45,927.32 and 8,431.72 is: 12,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.54 : 45,927.32 = 8,431.72 : x
  2. Step 2: Convert to fraction form
    30,616.54/45,927.32 = 8,431.72/x
  3. Step 3: Cross multiply
    30,616.54x = 45,927.32 × 8,431.72
  4. Step 4: Simplify right side
    30,616.54x = 387,246,302.59
  5. Step 5: Solve for x
    x = 387,246,302.59/30,616.54
  6. Step 6: Final answer
    x = 12,648.27

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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.