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Finding the Fourth Proportional to 15,986, 22,070.13 and 14,212.70

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Solution

The fourth proportional to 15,986, 22,070.13 and 14,212.70 is: 19,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986 : 22,070.13 = 14,212.70 : x
  2. Step 2: Convert to fraction form
    15,986/22,070.13 = 14,212.70/x
  3. Step 3: Cross multiply
    15,986x = 22,070.13 × 14,212.70
  4. Step 4: Simplify right side
    15,986x = 313,676,136.65
  5. Step 5: Solve for x
    x = 313,676,136.65/15,986
  6. Step 6: Final answer
    x = 19,621.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.