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Finding the Fourth Proportional to 9,893.80, 13,653.77 and 5,417.74

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Solution

The fourth proportional to 9,893.80, 13,653.77 and 5,417.74 is: 7,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.80 : 13,653.77 = 5,417.74 : x
  2. Step 2: Convert to fraction form
    9,893.80/13,653.77 = 5,417.74/x
  3. Step 3: Cross multiply
    9,893.80x = 13,653.77 × 5,417.74
  4. Step 4: Simplify right side
    9,893.80x = 73,972,575.88
  5. Step 5: Solve for x
    x = 73,972,575.88/9,893.80
  6. Step 6: Final answer
    x = 7,476.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.