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Finding the Fourth Proportional to 31,010.68, 46,514.98 and 13,480.50

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Solution

The fourth proportional to 31,010.68, 46,514.98 and 13,480.50 is: 20,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010.68 : 46,514.98 = 13,480.50 : x
  2. Step 2: Convert to fraction form
    31,010.68/46,514.98 = 13,480.50/x
  3. Step 3: Cross multiply
    31,010.68x = 46,514.98 × 13,480.50
  4. Step 4: Simplify right side
    31,010.68x = 627,045,187.89
  5. Step 5: Solve for x
    x = 627,045,187.89/31,010.68
  6. Step 6: Final answer
    x = 20,220.30

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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.