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Finding the Fourth Proportional to 10,816.53, 14,922.81 and 7,990.71

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Solution

The fourth proportional to 10,816.53, 14,922.81 and 7,990.71 is: 11,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.53 : 14,922.81 = 7,990.71 : x
  2. Step 2: Convert to fraction form
    10,816.53/14,922.81 = 7,990.71/x
  3. Step 3: Cross multiply
    10,816.53x = 14,922.81 × 7,990.71
  4. Step 4: Simplify right side
    10,816.53x = 119,243,847.10
  5. Step 5: Solve for x
    x = 119,243,847.10/10,816.53
  6. Step 6: Final answer
    x = 11,024.22

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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.