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Finding the Fourth Proportional to 4,639.60, 6,947.20 and 4,369.84

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Solution

The fourth proportional to 4,639.60, 6,947.20 and 4,369.84 is: 6,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.60 : 6,947.20 = 4,369.84 : x
  2. Step 2: Convert to fraction form
    4,639.60/6,947.20 = 4,369.84/x
  3. Step 3: Cross multiply
    4,639.60x = 6,947.20 × 4,369.84
  4. Step 4: Simplify right side
    4,639.60x = 30,358,152.45
  5. Step 5: Solve for x
    x = 30,358,152.45/4,639.60
  6. Step 6: Final answer
    x = 6,543.27

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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.