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Finding the Fourth Proportional to 25,803.48, 38,700 and 9,163.20

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Solution

The fourth proportional to 25,803.48, 38,700 and 9,163.20 is: 13,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.48 : 38,700 = 9,163.20 : x
  2. Step 2: Convert to fraction form
    25,803.48/38,700 = 9,163.20/x
  3. Step 3: Cross multiply
    25,803.48x = 38,700 × 9,163.20
  4. Step 4: Simplify right side
    25,803.48x = 354,615,840
  5. Step 5: Solve for x
    x = 354,615,840/25,803.48
  6. Step 6: Final answer
    x = 13,742.95

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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.