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Finding the Fourth Proportional to 25,186.84, 37,778.90 and 7,655.30

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Solution

The fourth proportional to 25,186.84, 37,778.90 and 7,655.30 is: 11,482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,186.84 : 37,778.90 = 7,655.30 : x
  2. Step 2: Convert to fraction form
    25,186.84/37,778.90 = 7,655.30/x
  3. Step 3: Cross multiply
    25,186.84x = 37,778.90 × 7,655.30
  4. Step 4: Simplify right side
    25,186.84x = 289,208,869.34
  5. Step 5: Solve for x
    x = 289,208,869.34/25,186.84
  6. Step 6: Final answer
    x = 11,482.54

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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.