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Finding the Fourth Proportional to 25,187.36, 37,782.86 and 7,657.13

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Solution

The fourth proportional to 25,187.36, 37,782.86 and 7,657.13 is: 11,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187.36 : 37,782.86 = 7,657.13 : x
  2. Step 2: Convert to fraction form
    25,187.36/37,782.86 = 7,657.13/x
  3. Step 3: Cross multiply
    25,187.36x = 37,782.86 × 7,657.13
  4. Step 4: Simplify right side
    25,187.36x = 289,308,326.96
  5. Step 5: Solve for x
    x = 289,308,326.96/25,187.36
  6. Step 6: Final answer
    x = 11,486.25

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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.