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Finding the Fourth Proportional to 1,780.91, 2,653.08 and 1,700.95

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Solution

The fourth proportional to 1,780.91, 2,653.08 and 1,700.95 is: 2,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.91 : 2,653.08 = 1,700.95 : x
  2. Step 2: Convert to fraction form
    1,780.91/2,653.08 = 1,700.95/x
  3. Step 3: Cross multiply
    1,780.91x = 2,653.08 × 1,700.95
  4. Step 4: Simplify right side
    1,780.91x = 4,512,760.35
  5. Step 5: Solve for x
    x = 4,512,760.35/1,780.91
  6. Step 6: Final answer
    x = 2,533.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.