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Finding the Fourth Proportional to 31,707.78, 47,563.72 and 10,646.97

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Solution

The fourth proportional to 31,707.78, 47,563.72 and 10,646.97 is: 15,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707.78 : 47,563.72 = 10,646.97 : x
  2. Step 2: Convert to fraction form
    31,707.78/47,563.72 = 10,646.97/x
  3. Step 3: Cross multiply
    31,707.78x = 47,563.72 × 10,646.97
  4. Step 4: Simplify right side
    31,707.78x = 506,409,499.93
  5. Step 5: Solve for x
    x = 506,409,499.93/31,707.78
  6. Step 6: Final answer
    x = 15,971.14

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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.