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Finding the Fourth Proportional to 10,620.64, 15,930.98 and 2,829.44

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Solution

The fourth proportional to 10,620.64, 15,930.98 and 2,829.44 is: 4,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.64 : 15,930.98 = 2,829.44 : x
  2. Step 2: Convert to fraction form
    10,620.64/15,930.98 = 2,829.44/x
  3. Step 3: Cross multiply
    10,620.64x = 15,930.98 × 2,829.44
  4. Step 4: Simplify right side
    10,620.64x = 45,075,752.05
  5. Step 5: Solve for x
    x = 45,075,752.05/10,620.64
  6. Step 6: Final answer
    x = 4,244.17

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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.