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Finding the Fourth Proportional to 8,355.93, 12,509.28 and 6,174.39

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Solution

The fourth proportional to 8,355.93, 12,509.28 and 6,174.39 is: 9,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.93 : 12,509.28 = 6,174.39 : x
  2. Step 2: Convert to fraction form
    8,355.93/12,509.28 = 6,174.39/x
  3. Step 3: Cross multiply
    8,355.93x = 12,509.28 × 6,174.39
  4. Step 4: Simplify right side
    8,355.93x = 77,237,173.34
  5. Step 5: Solve for x
    x = 77,237,173.34/8,355.93
  6. Step 6: Final answer
    x = 9,243.40

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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.