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Finding the Fourth Proportional to 10,048.95, 13,851.57 and 7,921.03

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Solution

The fourth proportional to 10,048.95, 13,851.57 and 7,921.03 is: 10,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.95 : 13,851.57 = 7,921.03 : x
  2. Step 2: Convert to fraction form
    10,048.95/13,851.57 = 7,921.03/x
  3. Step 3: Cross multiply
    10,048.95x = 13,851.57 × 7,921.03
  4. Step 4: Simplify right side
    10,048.95x = 109,718,637.18
  5. Step 5: Solve for x
    x = 109,718,637.18/10,048.95
  6. Step 6: Final answer
    x = 10,918.42

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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.