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Finding the Fourth Proportional to 15,106, 20,847.56 and 8,483.28

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Solution

The fourth proportional to 15,106, 20,847.56 and 8,483.28 is: 11,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106 : 20,847.56 = 8,483.28 : x
  2. Step 2: Convert to fraction form
    15,106/20,847.56 = 8,483.28/x
  3. Step 3: Cross multiply
    15,106x = 20,847.56 × 8,483.28
  4. Step 4: Simplify right side
    15,106x = 176,855,688.80
  5. Step 5: Solve for x
    x = 176,855,688.80/15,106
  6. Step 6: Final answer
    x = 11,707.65

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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.