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Finding the Fourth Proportional to 15,857.79, 21,892.71 and 10,829.31

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Solution

The fourth proportional to 15,857.79, 21,892.71 and 10,829.31 is: 14,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.79 : 21,892.71 = 10,829.31 : x
  2. Step 2: Convert to fraction form
    15,857.79/21,892.71 = 10,829.31/x
  3. Step 3: Cross multiply
    15,857.79x = 21,892.71 × 10,829.31
  4. Step 4: Simplify right side
    15,857.79x = 237,082,943.33
  5. Step 5: Solve for x
    x = 237,082,943.33/15,857.79
  6. Step 6: Final answer
    x = 14,950.57

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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.