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Finding the Fourth Proportional to 31,231, 46,840.78 and 9,038.92

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Solution

The fourth proportional to 31,231, 46,840.78 and 9,038.92 is: 13,556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,231 : 46,840.78 = 9,038.92 : x
  2. Step 2: Convert to fraction form
    31,231/46,840.78 = 9,038.92/x
  3. Step 3: Cross multiply
    31,231x = 46,840.78 × 9,038.92
  4. Step 4: Simplify right side
    31,231x = 423,390,063.16
  5. Step 5: Solve for x
    x = 423,390,063.16/31,231
  6. Step 6: Final answer
    x = 13,556.72

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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.