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Finding the Fourth Proportional to 1,680.83, 2,521.67 and 988.09

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Solution

The fourth proportional to 1,680.83, 2,521.67 and 988.09 is: 1,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.83 : 2,521.67 = 988.09 : x
  2. Step 2: Convert to fraction form
    1,680.83/2,521.67 = 988.09/x
  3. Step 3: Cross multiply
    1,680.83x = 2,521.67 × 988.09
  4. Step 4: Simplify right side
    1,680.83x = 2,491,636.91
  5. Step 5: Solve for x
    x = 2,491,636.91/1,680.83
  6. Step 6: Final answer
    x = 1,482.38

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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.