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Finding the Fourth Proportional to 7,305, 10,100.10 and 6,978.60

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Solution

The fourth proportional to 7,305, 10,100.10 and 6,978.60 is: 9,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305 : 10,100.10 = 6,978.60 : x
  2. Step 2: Convert to fraction form
    7,305/10,100.10 = 6,978.60/x
  3. Step 3: Cross multiply
    7,305x = 10,100.10 × 6,978.60
  4. Step 4: Simplify right side
    7,305x = 70,484,557.86
  5. Step 5: Solve for x
    x = 70,484,557.86/7,305
  6. Step 6: Final answer
    x = 9,648.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.