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Finding the Fourth Proportional to 35,085.70, 52,649.30 and 12,914.65

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Solution

The fourth proportional to 35,085.70, 52,649.30 and 12,914.65 is: 19,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,085.70 : 52,649.30 = 12,914.65 : x
  2. Step 2: Convert to fraction form
    35,085.70/52,649.30 = 12,914.65/x
  3. Step 3: Cross multiply
    35,085.70x = 52,649.30 × 12,914.65
  4. Step 4: Simplify right side
    35,085.70x = 679,947,282.25
  5. Step 5: Solve for x
    x = 679,947,282.25/35,085.70
  6. Step 6: Final answer
    x = 19,379.61

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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.