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Finding the Fourth Proportional to 18,261, 25,200.36 and 9,877.68

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Solution

The fourth proportional to 18,261, 25,200.36 and 9,877.68 is: 13,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,261 : 25,200.36 = 9,877.68 : x
  2. Step 2: Convert to fraction form
    18,261/25,200.36 = 9,877.68/x
  3. Step 3: Cross multiply
    18,261x = 25,200.36 × 9,877.68
  4. Step 4: Simplify right side
    18,261x = 248,921,091.96
  5. Step 5: Solve for x
    x = 248,921,091.96/18,261
  6. Step 6: Final answer
    x = 13,631.30

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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.