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Finding the Fourth Proportional to 16,142.32, 22,276 and 9,428.48

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Solution

The fourth proportional to 16,142.32, 22,276 and 9,428.48 is: 13,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.32 : 22,276 = 9,428.48 : x
  2. Step 2: Convert to fraction form
    16,142.32/22,276 = 9,428.48/x
  3. Step 3: Cross multiply
    16,142.32x = 22,276 × 9,428.48
  4. Step 4: Simplify right side
    16,142.32x = 210,028,820.48
  5. Step 5: Solve for x
    x = 210,028,820.48/16,142.32
  6. Step 6: Final answer
    x = 13,011.07

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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.