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Finding the Fourth Proportional to 1,957.78, 2,700.57 and 1,566.82

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Solution

The fourth proportional to 1,957.78, 2,700.57 and 1,566.82 is: 2,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.78 : 2,700.57 = 1,566.82 : x
  2. Step 2: Convert to fraction form
    1,957.78/2,700.57 = 1,566.82/x
  3. Step 3: Cross multiply
    1,957.78x = 2,700.57 × 1,566.82
  4. Step 4: Simplify right side
    1,957.78x = 4,231,307.09
  5. Step 5: Solve for x
    x = 4,231,307.09/1,957.78
  6. Step 6: Final answer
    x = 2,161.28

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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.