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Finding the Fourth Proportional to 10,857.90, 16,295.06 and 7,943.72

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Solution

The fourth proportional to 10,857.90, 16,295.06 and 7,943.72 is: 11,921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.90 : 16,295.06 = 7,943.72 : x
  2. Step 2: Convert to fraction form
    10,857.90/16,295.06 = 7,943.72/x
  3. Step 3: Cross multiply
    10,857.90x = 16,295.06 × 7,943.72
  4. Step 4: Simplify right side
    10,857.90x = 129,443,394.02
  5. Step 5: Solve for x
    x = 129,443,394.02/10,857.90
  6. Step 6: Final answer
    x = 11,921.59

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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.