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Finding the Fourth Proportional to 9,894.04, 13,653.74 and 5,418.07

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Solution

The fourth proportional to 9,894.04, 13,653.74 and 5,418.07 is: 7,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.04 : 13,653.74 = 5,418.07 : x
  2. Step 2: Convert to fraction form
    9,894.04/13,653.74 = 5,418.07/x
  3. Step 3: Cross multiply
    9,894.04x = 13,653.74 × 5,418.07
  4. Step 4: Simplify right side
    9,894.04x = 73,976,898.49
  5. Step 5: Solve for x
    x = 73,976,898.49/9,894.04
  6. Step 6: Final answer
    x = 7,476.92

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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.