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Finding the Fourth Proportional to 9,898.32, 13,659.48 and 5,706

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Solution

The fourth proportional to 9,898.32, 13,659.48 and 5,706 is: 7,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.32 : 13,659.48 = 5,706 : x
  2. Step 2: Convert to fraction form
    9,898.32/13,659.48 = 5,706/x
  3. Step 3: Cross multiply
    9,898.32x = 13,659.48 × 5,706
  4. Step 4: Simplify right side
    9,898.32x = 77,940,992.88
  5. Step 5: Solve for x
    x = 77,940,992.88/9,898.32
  6. Step 6: Final answer
    x = 7,874.16

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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.