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Finding the Fourth Proportional to 9,136, 12,619.78 and 7,350.21

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Solution

The fourth proportional to 9,136, 12,619.78 and 7,350.21 is: 10,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136 : 12,619.78 = 7,350.21 : x
  2. Step 2: Convert to fraction form
    9,136/12,619.78 = 7,350.21/x
  3. Step 3: Cross multiply
    9,136x = 12,619.78 × 7,350.21
  4. Step 4: Simplify right side
    9,136x = 92,757,970.05
  5. Step 5: Solve for x
    x = 92,757,970.05/9,136
  6. Step 6: Final answer
    x = 10,153.02

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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.