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Finding the Fourth Proportional to 6,201.61, 9,345.05 and 5,129.98

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Solution

The fourth proportional to 6,201.61, 9,345.05 and 5,129.98 is: 7,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.61 : 9,345.05 = 5,129.98 : x
  2. Step 2: Convert to fraction form
    6,201.61/9,345.05 = 5,129.98/x
  3. Step 3: Cross multiply
    6,201.61x = 9,345.05 × 5,129.98
  4. Step 4: Simplify right side
    6,201.61x = 47,939,919.60
  5. Step 5: Solve for x
    x = 47,939,919.60/6,201.61
  6. Step 6: Final answer
    x = 7,730.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.