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Finding the Fourth Proportional to 9,896.85, 13,657.82 and 5,918.40

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Solution

The fourth proportional to 9,896.85, 13,657.82 and 5,918.40 is: 8,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.85 : 13,657.82 = 5,918.40 : x
  2. Step 2: Convert to fraction form
    9,896.85/13,657.82 = 5,918.40/x
  3. Step 3: Cross multiply
    9,896.85x = 13,657.82 × 5,918.40
  4. Step 4: Simplify right side
    9,896.85x = 80,832,412.30
  5. Step 5: Solve for x
    x = 80,832,412.30/9,896.85
  6. Step 6: Final answer
    x = 8,167.49

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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.