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Finding the Fourth Proportional to 31,142.78, 46,712.64 and 8,955.98

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Solution

The fourth proportional to 31,142.78, 46,712.64 and 8,955.98 is: 13,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.78 : 46,712.64 = 8,955.98 : x
  2. Step 2: Convert to fraction form
    31,142.78/46,712.64 = 8,955.98/x
  3. Step 3: Cross multiply
    31,142.78x = 46,712.64 × 8,955.98
  4. Step 4: Simplify right side
    31,142.78x = 418,357,469.59
  5. Step 5: Solve for x
    x = 418,357,469.59/31,142.78
  6. Step 6: Final answer
    x = 13,433.53

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1.5x scale

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.