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Finding the Fourth Proportional to 4,647.60, 6,411.84 and 2,880

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Solution

The fourth proportional to 4,647.60, 6,411.84 and 2,880 is: 3,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.60 : 6,411.84 = 2,880 : x
  2. Step 2: Convert to fraction form
    4,647.60/6,411.84 = 2,880/x
  3. Step 3: Cross multiply
    4,647.60x = 6,411.84 × 2,880
  4. Step 4: Simplify right side
    4,647.60x = 18,466,099.20
  5. Step 5: Solve for x
    x = 18,466,099.20/4,647.60
  6. Step 6: Final answer
    x = 3,973.25

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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.