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Finding the Fourth Proportional to 4,406.85, 6,065.28 and 3,865.50

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Solution

The fourth proportional to 4,406.85, 6,065.28 and 3,865.50 is: 5,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.85 : 6,065.28 = 3,865.50 : x
  2. Step 2: Convert to fraction form
    4,406.85/6,065.28 = 3,865.50/x
  3. Step 3: Cross multiply
    4,406.85x = 6,065.28 × 3,865.50
  4. Step 4: Simplify right side
    4,406.85x = 23,445,339.84
  5. Step 5: Solve for x
    x = 23,445,339.84/4,406.85
  6. Step 6: Final answer
    x = 5,320.20

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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.