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Finding the Fourth Proportional to 1,972.84, 2,957.28 and 673.42

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Solution

The fourth proportional to 1,972.84, 2,957.28 and 673.42 is: 1,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.84 : 2,957.28 = 673.42 : x
  2. Step 2: Convert to fraction form
    1,972.84/2,957.28 = 673.42/x
  3. Step 3: Cross multiply
    1,972.84x = 2,957.28 × 673.42
  4. Step 4: Simplify right side
    1,972.84x = 1,991,491.50
  5. Step 5: Solve for x
    x = 1,991,491.50/1,972.84
  6. Step 6: Final answer
    x = 1,009.45

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1.5x scale

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.