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Finding the Fourth Proportional to 19,221, 28,831.50 and 4,629

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Solution

The fourth proportional to 19,221, 28,831.50 and 4,629 is: 6,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,221 : 28,831.50 = 4,629 : x
  2. Step 2: Convert to fraction form
    19,221/28,831.50 = 4,629/x
  3. Step 3: Cross multiply
    19,221x = 28,831.50 × 4,629
  4. Step 4: Simplify right side
    19,221x = 133,461,013.50
  5. Step 5: Solve for x
    x = 133,461,013.50/19,221
  6. Step 6: Final answer
    x = 6,943.50

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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.