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Finding the Fourth Proportional to 9,126, 12,588.84 and 6,136.56

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Solution

The fourth proportional to 9,126, 12,588.84 and 6,136.56 is: 8,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126 : 12,588.84 = 6,136.56 : x
  2. Step 2: Convert to fraction form
    9,126/12,588.84 = 6,136.56/x
  3. Step 3: Cross multiply
    9,126x = 12,588.84 × 6,136.56
  4. Step 4: Simplify right side
    9,126x = 77,252,171.99
  5. Step 5: Solve for x
    x = 77,252,171.99/9,126
  6. Step 6: Final answer
    x = 8,465.06

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1.5x scale

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.