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Finding the Fourth Proportional to 1,971.56, 2,957.45 and 817.31

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Solution

The fourth proportional to 1,971.56, 2,957.45 and 817.31 is: 1,226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.56 : 2,957.45 = 817.31 : x
  2. Step 2: Convert to fraction form
    1,971.56/2,957.45 = 817.31/x
  3. Step 3: Cross multiply
    1,971.56x = 2,957.45 × 817.31
  4. Step 4: Simplify right side
    1,971.56x = 2,417,156.77
  5. Step 5: Solve for x
    x = 2,417,156.77/1,971.56
  6. Step 6: Final answer
    x = 1,226.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.