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Finding the Fourth Proportional to 9,898.56, 13,659.64 and 5,917.30

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Solution

The fourth proportional to 9,898.56, 13,659.64 and 5,917.30 is: 8,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.56 : 13,659.64 = 5,917.30 : x
  2. Step 2: Convert to fraction form
    9,898.56/13,659.64 = 5,917.30/x
  3. Step 3: Cross multiply
    9,898.56x = 13,659.64 × 5,917.30
  4. Step 4: Simplify right side
    9,898.56x = 80,828,138.83
  5. Step 5: Solve for x
    x = 80,828,138.83/9,898.56
  6. Step 6: Final answer
    x = 8,165.65

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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.