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Finding the Fourth Proportional to 6,505.04, 8,978.28 and 4,409.84

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Solution

The fourth proportional to 6,505.04, 8,978.28 and 4,409.84 is: 6,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.04 : 8,978.28 = 4,409.84 : x
  2. Step 2: Convert to fraction form
    6,505.04/8,978.28 = 4,409.84/x
  3. Step 3: Cross multiply
    6,505.04x = 8,978.28 × 4,409.84
  4. Step 4: Simplify right side
    6,505.04x = 39,592,778.28
  5. Step 5: Solve for x
    x = 39,592,778.28/6,505.04
  6. Step 6: Final answer
    x = 6,086.48

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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.