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Finding the Fourth Proportional to 9,492.51, 13,100.78 and 7,896.34

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Solution

The fourth proportional to 9,492.51, 13,100.78 and 7,896.34 is: 10,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.51 : 13,100.78 = 7,896.34 : x
  2. Step 2: Convert to fraction form
    9,492.51/13,100.78 = 7,896.34/x
  3. Step 3: Cross multiply
    9,492.51x = 13,100.78 × 7,896.34
  4. Step 4: Simplify right side
    9,492.51x = 103,448,249.26
  5. Step 5: Solve for x
    x = 103,448,249.26/9,492.51
  6. Step 6: Final answer
    x = 10,897.88

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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.