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Finding the Fourth Proportional to 15,221, 22,831.50 and 4,277

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Solution

The fourth proportional to 15,221, 22,831.50 and 4,277 is: 6,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221 : 22,831.50 = 4,277 : x
  2. Step 2: Convert to fraction form
    15,221/22,831.50 = 4,277/x
  3. Step 3: Cross multiply
    15,221x = 22,831.50 × 4,277
  4. Step 4: Simplify right side
    15,221x = 97,650,325.50
  5. Step 5: Solve for x
    x = 97,650,325.50/15,221
  6. Step 6: Final answer
    x = 6,415.50

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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.