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Finding the Fourth Proportional to 9,898.78, 13,659.91 and 5,919.11

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Solution

The fourth proportional to 9,898.78, 13,659.91 and 5,919.11 is: 8,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.78 : 13,659.91 = 5,919.11 : x
  2. Step 2: Convert to fraction form
    9,898.78/13,659.91 = 5,919.11/x
  3. Step 3: Cross multiply
    9,898.78x = 13,659.91 × 5,919.11
  4. Step 4: Simplify right side
    9,898.78x = 80,854,509.88
  5. Step 5: Solve for x
    x = 80,854,509.88/9,898.78
  6. Step 6: Final answer
    x = 8,168.13

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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.