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Finding the Fourth Proportional to 1,971.28, 2,700.64 and 1,897.42

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Solution

The fourth proportional to 1,971.28, 2,700.64 and 1,897.42 is: 2,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.28 : 2,700.64 = 1,897.42 : x
  2. Step 2: Convert to fraction form
    1,971.28/2,700.64 = 1,897.42/x
  3. Step 3: Cross multiply
    1,971.28x = 2,700.64 × 1,897.42
  4. Step 4: Simplify right side
    1,971.28x = 5,124,248.35
  5. Step 5: Solve for x
    x = 5,124,248.35/1,971.28
  6. Step 6: Final answer
    x = 2,599.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.