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Finding the Fourth Proportional to 31,138, 46,726.44 and 12,670

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Solution

The fourth proportional to 31,138, 46,726.44 and 12,670 is: 19,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138 : 46,726.44 = 12,670 : x
  2. Step 2: Convert to fraction form
    31,138/46,726.44 = 12,670/x
  3. Step 3: Cross multiply
    31,138x = 46,726.44 × 12,670
  4. Step 4: Simplify right side
    31,138x = 592,023,994.80
  5. Step 5: Solve for x
    x = 592,023,994.80/31,138
  6. Step 6: Final answer
    x = 19,012.91

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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.