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Finding the Fourth Proportional to 6,485.52, 9,726.24 and 2,102

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Solution

The fourth proportional to 6,485.52, 9,726.24 and 2,102 is: 3,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.52 : 9,726.24 = 2,102 : x
  2. Step 2: Convert to fraction form
    6,485.52/9,726.24 = 2,102/x
  3. Step 3: Cross multiply
    6,485.52x = 9,726.24 × 2,102
  4. Step 4: Simplify right side
    6,485.52x = 20,444,556.48
  5. Step 5: Solve for x
    x = 20,444,556.48/6,485.52
  6. Step 6: Final answer
    x = 3,152.34

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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.