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Finding the Fourth Proportional to 31,127.74, 46,698.48 and 8,939.40

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Solution

The fourth proportional to 31,127.74, 46,698.48 and 8,939.40 is: 13,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,127.74 : 46,698.48 = 8,939.40 : x
  2. Step 2: Convert to fraction form
    31,127.74/46,698.48 = 8,939.40/x
  3. Step 3: Cross multiply
    31,127.74x = 46,698.48 × 8,939.40
  4. Step 4: Simplify right side
    31,127.74x = 417,456,392.11
  5. Step 5: Solve for x
    x = 417,456,392.11/31,127.74
  6. Step 6: Final answer
    x = 13,411.07

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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.