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Finding the Fourth Proportional to 7,254.36, 10,057.77 and 7,111.80

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Solution

The fourth proportional to 7,254.36, 10,057.77 and 7,111.80 is: 9,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.36 : 10,057.77 = 7,111.80 : x
  2. Step 2: Convert to fraction form
    7,254.36/10,057.77 = 7,111.80/x
  3. Step 3: Cross multiply
    7,254.36x = 10,057.77 × 7,111.80
  4. Step 4: Simplify right side
    7,254.36x = 71,528,848.69
  5. Step 5: Solve for x
    x = 71,528,848.69/7,254.36
  6. Step 6: Final answer
    x = 9,860.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.