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Finding the Fourth Proportional to 31,782.78, 47,678.63 and 9,593.64

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Solution

The fourth proportional to 31,782.78, 47,678.63 and 9,593.64 is: 14,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.78 : 47,678.63 = 9,593.64 : x
  2. Step 2: Convert to fraction form
    31,782.78/47,678.63 = 9,593.64/x
  3. Step 3: Cross multiply
    31,782.78x = 47,678.63 × 9,593.64
  4. Step 4: Simplify right side
    31,782.78x = 457,411,563.95
  5. Step 5: Solve for x
    x = 457,411,563.95/31,782.78
  6. Step 6: Final answer
    x = 14,391.80

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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.