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Finding the Fourth Proportional to 31,339.79, 47,009.78 and 7,966.23

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Solution

The fourth proportional to 31,339.79, 47,009.78 and 7,966.23 is: 11,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,339.79 : 47,009.78 = 7,966.23 : x
  2. Step 2: Convert to fraction form
    31,339.79/47,009.78 = 7,966.23/x
  3. Step 3: Cross multiply
    31,339.79x = 47,009.78 × 7,966.23
  4. Step 4: Simplify right side
    31,339.79x = 374,490,578.29
  5. Step 5: Solve for x
    x = 374,490,578.29/31,339.79
  6. Step 6: Final answer
    x = 11,949.37

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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.