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Finding the Fourth Proportional to 35,778.78, 53,656.02 and 13,586.81

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Solution

The fourth proportional to 35,778.78, 53,656.02 and 13,586.81 is: 20,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,778.78 : 53,656.02 = 13,586.81 : x
  2. Step 2: Convert to fraction form
    35,778.78/53,656.02 = 13,586.81/x
  3. Step 3: Cross multiply
    35,778.78x = 53,656.02 × 13,586.81
  4. Step 4: Simplify right side
    35,778.78x = 729,013,880.82
  5. Step 5: Solve for x
    x = 729,013,880.82/35,778.78
  6. Step 6: Final answer
    x = 20,375.59

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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.