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Finding the Fourth Proportional to 2,989.87, 4,486.63 and 2,807.62

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Solution

The fourth proportional to 2,989.87, 4,486.63 and 2,807.62 is: 4,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.87 : 4,486.63 = 2,807.62 : x
  2. Step 2: Convert to fraction form
    2,989.87/4,486.63 = 2,807.62/x
  3. Step 3: Cross multiply
    2,989.87x = 4,486.63 × 2,807.62
  4. Step 4: Simplify right side
    2,989.87x = 12,596,733.88
  5. Step 5: Solve for x
    x = 12,596,733.88/2,989.87
  6. Step 6: Final answer
    x = 4,213.14

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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.