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Finding the Fourth Proportional to 15,756.80, 23,606.40 and 12,819.20

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Solution

The fourth proportional to 15,756.80, 23,606.40 and 12,819.20 is: 19,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.80 : 23,606.40 = 12,819.20 : x
  2. Step 2: Convert to fraction form
    15,756.80/23,606.40 = 12,819.20/x
  3. Step 3: Cross multiply
    15,756.80x = 23,606.40 × 12,819.20
  4. Step 4: Simplify right side
    15,756.80x = 302,615,162.88
  5. Step 5: Solve for x
    x = 302,615,162.88/15,756.80
  6. Step 6: Final answer
    x = 19,205.37

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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.