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Finding the Fourth Proportional to 31,783.68, 47,697.12 and 11,007

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Solution

The fourth proportional to 31,783.68, 47,697.12 and 11,007 is: 16,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.68 : 47,697.12 = 11,007 : x
  2. Step 2: Convert to fraction form
    31,783.68/47,697.12 = 11,007/x
  3. Step 3: Cross multiply
    31,783.68x = 47,697.12 × 11,007
  4. Step 4: Simplify right side
    31,783.68x = 525,002,199.84
  5. Step 5: Solve for x
    x = 525,002,199.84/31,783.68
  6. Step 6: Final answer
    x = 16,517.98

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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.