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Finding the Fourth Proportional to 19,238.31, 28,831.95 and 9,877.95

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Solution

The fourth proportional to 19,238.31, 28,831.95 and 9,877.95 is: 14,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,238.31 : 28,831.95 = 9,877.95 : x
  2. Step 2: Convert to fraction form
    19,238.31/28,831.95 = 9,877.95/x
  3. Step 3: Cross multiply
    19,238.31x = 28,831.95 × 9,877.95
  4. Step 4: Simplify right side
    19,238.31x = 284,800,560.50
  5. Step 5: Solve for x
    x = 284,800,560.50/19,238.31
  6. Step 6: Final answer
    x = 14,803.82

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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.