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Finding the Fourth Proportional to 15,857.29, 21,892.02 and 10,828.81

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Solution

The fourth proportional to 15,857.29, 21,892.02 and 10,828.81 is: 14,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.29 : 21,892.02 = 10,828.81 : x
  2. Step 2: Convert to fraction form
    15,857.29/21,892.02 = 10,828.81/x
  3. Step 3: Cross multiply
    15,857.29x = 21,892.02 × 10,828.81
  4. Step 4: Simplify right side
    15,857.29x = 237,064,415.64
  5. Step 5: Solve for x
    x = 237,064,415.64/15,857.29
  6. Step 6: Final answer
    x = 14,949.87

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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.