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Finding the Fourth Proportional to 9,895, 13,655.14 and 5,418.80

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Solution

The fourth proportional to 9,895, 13,655.14 and 5,418.80 is: 7,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895 : 13,655.14 = 5,418.80 : x
  2. Step 2: Convert to fraction form
    9,895/13,655.14 = 5,418.80/x
  3. Step 3: Cross multiply
    9,895x = 13,655.14 × 5,418.80
  4. Step 4: Simplify right side
    9,895x = 73,994,472.63
  5. Step 5: Solve for x
    x = 73,994,472.63/9,895
  6. Step 6: Final answer
    x = 7,477.97

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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.