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Finding the Fourth Proportional to 22,307, 30,783.66 and 12,371

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Solution

The fourth proportional to 22,307, 30,783.66 and 12,371 is: 17,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307 : 30,783.66 = 12,371 : x
  2. Step 2: Convert to fraction form
    22,307/30,783.66 = 12,371/x
  3. Step 3: Cross multiply
    22,307x = 30,783.66 × 12,371
  4. Step 4: Simplify right side
    22,307x = 380,824,657.86
  5. Step 5: Solve for x
    x = 380,824,657.86/22,307
  6. Step 6: Final answer
    x = 17,071.98

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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.