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Finding the Fourth Proportional to 25,485.92, 38,214 and 9,885.32

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Solution

The fourth proportional to 25,485.92, 38,214 and 9,885.32 is: 14,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,485.92 : 38,214 = 9,885.32 : x
  2. Step 2: Convert to fraction form
    25,485.92/38,214 = 9,885.32/x
  3. Step 3: Cross multiply
    25,485.92x = 38,214 × 9,885.32
  4. Step 4: Simplify right side
    25,485.92x = 377,757,618.48
  5. Step 5: Solve for x
    x = 377,757,618.48/25,485.92
  6. Step 6: Final answer
    x = 14,822.21

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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.