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Finding the Fourth Proportional to 6,803.60, 10,209.74 and 2,907.99

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Solution

The fourth proportional to 6,803.60, 10,209.74 and 2,907.99 is: 4,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.60 : 10,209.74 = 2,907.99 : x
  2. Step 2: Convert to fraction form
    6,803.60/10,209.74 = 2,907.99/x
  3. Step 3: Cross multiply
    6,803.60x = 10,209.74 × 2,907.99
  4. Step 4: Simplify right side
    6,803.60x = 29,689,807.28
  5. Step 5: Solve for x
    x = 29,689,807.28/6,803.60
  6. Step 6: Final answer
    x = 4,363.84

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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.