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Finding the Fourth Proportional to 7,853.16, 11,774.88 and 3,690.57

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Solution

The fourth proportional to 7,853.16, 11,774.88 and 3,690.57 is: 5,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.16 : 11,774.88 = 3,690.57 : x
  2. Step 2: Convert to fraction form
    7,853.16/11,774.88 = 3,690.57/x
  3. Step 3: Cross multiply
    7,853.16x = 11,774.88 × 3,690.57
  4. Step 4: Simplify right side
    7,853.16x = 43,456,018.88
  5. Step 5: Solve for x
    x = 43,456,018.88/7,853.16
  6. Step 6: Final answer
    x = 5,533.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.