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Finding the Fourth Proportional to 31,207.50, 46,830.69 and 12,739.50

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Solution

The fourth proportional to 31,207.50, 46,830.69 and 12,739.50 is: 19,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207.50 : 46,830.69 = 12,739.50 : x
  2. Step 2: Convert to fraction form
    31,207.50/46,830.69 = 12,739.50/x
  3. Step 3: Cross multiply
    31,207.50x = 46,830.69 × 12,739.50
  4. Step 4: Simplify right side
    31,207.50x = 596,599,575.26
  5. Step 5: Solve for x
    x = 596,599,575.26/31,207.50
  6. Step 6: Final answer
    x = 19,117.19

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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.