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Finding the Fourth Proportional to 1,740.74, 2,383.02 and 1,728.59

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Solution

The fourth proportional to 1,740.74, 2,383.02 and 1,728.59 is: 2,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.74 : 2,383.02 = 1,728.59 : x
  2. Step 2: Convert to fraction form
    1,740.74/2,383.02 = 1,728.59/x
  3. Step 3: Cross multiply
    1,740.74x = 2,383.02 × 1,728.59
  4. Step 4: Simplify right side
    1,740.74x = 4,119,252.63
  5. Step 5: Solve for x
    x = 4,119,252.63/1,740.74
  6. Step 6: Final answer
    x = 2,366.39

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1.5x scale

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.