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Finding the Fourth Proportional to 2,812, 3,880.80 and 1,570.24

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Solution

The fourth proportional to 2,812, 3,880.80 and 1,570.24 is: 2,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812 : 3,880.80 = 1,570.24 : x
  2. Step 2: Convert to fraction form
    2,812/3,880.80 = 1,570.24/x
  3. Step 3: Cross multiply
    2,812x = 3,880.80 × 1,570.24
  4. Step 4: Simplify right side
    2,812x = 6,093,787.39
  5. Step 5: Solve for x
    x = 6,093,787.39/2,812
  6. Step 6: Final answer
    x = 2,167.07

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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.