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Finding the Fourth Proportional to 9,858.17, 13,604.08 and 5,381.80

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Solution

The fourth proportional to 9,858.17, 13,604.08 and 5,381.80 is: 7,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.17 : 13,604.08 = 5,381.80 : x
  2. Step 2: Convert to fraction form
    9,858.17/13,604.08 = 5,381.80/x
  3. Step 3: Cross multiply
    9,858.17x = 13,604.08 × 5,381.80
  4. Step 4: Simplify right side
    9,858.17x = 73,214,437.74
  5. Step 5: Solve for x
    x = 73,214,437.74/9,858.17
  6. Step 6: Final answer
    x = 7,426.78

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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.