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Finding the Fourth Proportional to 1,767.70, 2,439.06 and 981.58

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Solution

The fourth proportional to 1,767.70, 2,439.06 and 981.58 is: 1,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.70 : 2,439.06 = 981.58 : x
  2. Step 2: Convert to fraction form
    1,767.70/2,439.06 = 981.58/x
  3. Step 3: Cross multiply
    1,767.70x = 2,439.06 × 981.58
  4. Step 4: Simplify right side
    1,767.70x = 2,394,132.51
  5. Step 5: Solve for x
    x = 2,394,132.51/1,767.70
  6. Step 6: Final answer
    x = 1,354.38

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1.5x scale

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.