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Finding the Fourth Proportional to 2,812, 3,880.56 and 1,570

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Solution

The fourth proportional to 2,812, 3,880.56 and 1,570 is: 2,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812 : 3,880.56 = 1,570 : x
  2. Step 2: Convert to fraction form
    2,812/3,880.56 = 1,570/x
  3. Step 3: Cross multiply
    2,812x = 3,880.56 × 1,570
  4. Step 4: Simplify right side
    2,812x = 6,092,479.20
  5. Step 5: Solve for x
    x = 6,092,479.20/2,812
  6. Step 6: Final answer
    x = 2,166.60

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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.