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Finding the Fourth Proportional to 8,622.60, 12,916.80 and 6,765

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Solution

The fourth proportional to 8,622.60, 12,916.80 and 6,765 is: 10,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.60 : 12,916.80 = 6,765 : x
  2. Step 2: Convert to fraction form
    8,622.60/12,916.80 = 6,765/x
  3. Step 3: Cross multiply
    8,622.60x = 12,916.80 × 6,765
  4. Step 4: Simplify right side
    8,622.60x = 87,382,152
  5. Step 5: Solve for x
    x = 87,382,152/8,622.60
  6. Step 6: Final answer
    x = 10,134.08

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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.