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Finding the Fourth Proportional to 4,808.64, 6,636.96 and 2,820

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Solution

The fourth proportional to 4,808.64, 6,636.96 and 2,820 is: 3,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.64 : 6,636.96 = 2,820 : x
  2. Step 2: Convert to fraction form
    4,808.64/6,636.96 = 2,820/x
  3. Step 3: Cross multiply
    4,808.64x = 6,636.96 × 2,820
  4. Step 4: Simplify right side
    4,808.64x = 18,716,227.20
  5. Step 5: Solve for x
    x = 18,716,227.20/4,808.64
  6. Step 6: Final answer
    x = 3,892.21

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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.