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Finding the Fourth Proportional to 8,534, 12,806.80 and 3,062

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Solution

The fourth proportional to 8,534, 12,806.80 and 3,062 is: 4,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534 : 12,806.80 = 3,062 : x
  2. Step 2: Convert to fraction form
    8,534/12,806.80 = 3,062/x
  3. Step 3: Cross multiply
    8,534x = 12,806.80 × 3,062
  4. Step 4: Simplify right side
    8,534x = 39,214,421.60
  5. Step 5: Solve for x
    x = 39,214,421.60/8,534
  6. Step 6: Final answer
    x = 4,595.08

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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.