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Finding the Fourth Proportional to 31,149, 46,742.94 and 12,681

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Solution

The fourth proportional to 31,149, 46,742.94 and 12,681 is: 19,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149 : 46,742.94 = 12,681 : x
  2. Step 2: Convert to fraction form
    31,149/46,742.94 = 12,681/x
  3. Step 3: Cross multiply
    31,149x = 46,742.94 × 12,681
  4. Step 4: Simplify right side
    31,149x = 592,747,222.14
  5. Step 5: Solve for x
    x = 592,747,222.14/31,149
  6. Step 6: Final answer
    x = 19,029.41

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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.