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Finding the Fourth Proportional to 8,649.14, 12,972.74 and 5,093.42

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Solution

The fourth proportional to 8,649.14, 12,972.74 and 5,093.42 is: 7,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.14 : 12,972.74 = 5,093.42 : x
  2. Step 2: Convert to fraction form
    8,649.14/12,972.74 = 5,093.42/x
  3. Step 3: Cross multiply
    8,649.14x = 12,972.74 × 5,093.42
  4. Step 4: Simplify right side
    8,649.14x = 66,075,523.04
  5. Step 5: Solve for x
    x = 66,075,523.04/8,649.14
  6. Step 6: Final answer
    x = 7,639.55

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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.