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Finding the Fourth Proportional to 28,651, 39,514.50 and 19,684.12

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Solution

The fourth proportional to 28,651, 39,514.50 and 19,684.12 is: 27,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,651 : 39,514.50 = 19,684.12 : x
  2. Step 2: Convert to fraction form
    28,651/39,514.50 = 19,684.12/x
  3. Step 3: Cross multiply
    28,651x = 39,514.50 × 19,684.12
  4. Step 4: Simplify right side
    28,651x = 777,808,159.74
  5. Step 5: Solve for x
    x = 777,808,159.74/28,651
  6. Step 6: Final answer
    x = 27,147.68

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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.