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Finding the Fourth Proportional to 8,639.34, 12,965.49 and 6,140.22

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Solution

The fourth proportional to 8,639.34, 12,965.49 and 6,140.22 is: 9,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,639.34 : 12,965.49 = 6,140.22 : x
  2. Step 2: Convert to fraction form
    8,639.34/12,965.49 = 6,140.22/x
  3. Step 3: Cross multiply
    8,639.34x = 12,965.49 × 6,140.22
  4. Step 4: Simplify right side
    8,639.34x = 79,610,961.01
  5. Step 5: Solve for x
    x = 79,610,961.01/8,639.34
  6. Step 6: Final answer
    x = 9,214.94

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1.5x scale

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.