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Finding the Fourth Proportional to 5,178, 7,772.27 and 3,887.67

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Solution

The fourth proportional to 5,178, 7,772.27 and 3,887.67 is: 5,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178 : 7,772.27 = 3,887.67 : x
  2. Step 2: Convert to fraction form
    5,178/7,772.27 = 3,887.67/x
  3. Step 3: Cross multiply
    5,178x = 7,772.27 × 3,887.67
  4. Step 4: Simplify right side
    5,178x = 30,216,001.47
  5. Step 5: Solve for x
    x = 30,216,001.47/5,178
  6. Step 6: Final answer
    x = 5,835.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.