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Finding the Fourth Proportional to 10,933.51, 16,400.20 and 9,448.22

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Solution

The fourth proportional to 10,933.51, 16,400.20 and 9,448.22 is: 14,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.51 : 16,400.20 = 9,448.22 : x
  2. Step 2: Convert to fraction form
    10,933.51/16,400.20 = 9,448.22/x
  3. Step 3: Cross multiply
    10,933.51x = 16,400.20 × 9,448.22
  4. Step 4: Simplify right side
    10,933.51x = 154,952,697.64
  5. Step 5: Solve for x
    x = 154,952,697.64/10,933.51
  6. Step 6: Final answer
    x = 14,172.27

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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.