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Finding the Fourth Proportional to 25,689, 38,533.50 and 7,221

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Solution

The fourth proportional to 25,689, 38,533.50 and 7,221 is: 10,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,689 : 38,533.50 = 7,221 : x
  2. Step 2: Convert to fraction form
    25,689/38,533.50 = 7,221/x
  3. Step 3: Cross multiply
    25,689x = 38,533.50 × 7,221
  4. Step 4: Simplify right side
    25,689x = 278,250,403.50
  5. Step 5: Solve for x
    x = 278,250,403.50/25,689
  6. Step 6: Final answer
    x = 10,831.50

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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.