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Finding the Fourth Proportional to 2,152.98, 2,970 and 1,366.20

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Solution

The fourth proportional to 2,152.98, 2,970 and 1,366.20 is: 1,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.98 : 2,970 = 1,366.20 : x
  2. Step 2: Convert to fraction form
    2,152.98/2,970 = 1,366.20/x
  3. Step 3: Cross multiply
    2,152.98x = 2,970 × 1,366.20
  4. Step 4: Simplify right side
    2,152.98x = 4,057,614
  5. Step 5: Solve for x
    x = 4,057,614/2,152.98
  6. Step 6: Final answer
    x = 1,884.65

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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.