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Finding the Fourth Proportional to 11,492.13, 15,865.20 and 7,735.05

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Solution

The fourth proportional to 11,492.13, 15,865.20 and 7,735.05 is: 10,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.13 : 15,865.20 = 7,735.05 : x
  2. Step 2: Convert to fraction form
    11,492.13/15,865.20 = 7,735.05/x
  3. Step 3: Cross multiply
    11,492.13x = 15,865.20 × 7,735.05
  4. Step 4: Simplify right side
    11,492.13x = 122,718,115.26
  5. Step 5: Solve for x
    x = 122,718,115.26/11,492.13
  6. Step 6: Final answer
    x = 10,678.44

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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.