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Finding the Fourth Proportional to 15,866.80, 23,771.40 and 12,929.20

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Solution

The fourth proportional to 15,866.80, 23,771.40 and 12,929.20 is: 19,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.80 : 23,771.40 = 12,929.20 : x
  2. Step 2: Convert to fraction form
    15,866.80/23,771.40 = 12,929.20/x
  3. Step 3: Cross multiply
    15,866.80x = 23,771.40 × 12,929.20
  4. Step 4: Simplify right side
    15,866.80x = 307,345,184.88
  5. Step 5: Solve for x
    x = 307,345,184.88/15,866.80
  6. Step 6: Final answer
    x = 19,370.33

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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.