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Finding the Fourth Proportional to 30,978.65, 42,750.99 and 16,831.40

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Solution

The fourth proportional to 30,978.65, 42,750.99 and 16,831.40 is: 23,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.65 : 42,750.99 = 16,831.40 : x
  2. Step 2: Convert to fraction form
    30,978.65/42,750.99 = 16,831.40/x
  3. Step 3: Cross multiply
    30,978.65x = 42,750.99 × 16,831.40
  4. Step 4: Simplify right side
    30,978.65x = 719,558,799.33
  5. Step 5: Solve for x
    x = 719,558,799.33/30,978.65
  6. Step 6: Final answer
    x = 23,227.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.