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Finding the Fourth Proportional to 1,985.82, 2,980.09 and 891.41

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Solution

The fourth proportional to 1,985.82, 2,980.09 and 891.41 is: 1,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.82 : 2,980.09 = 891.41 : x
  2. Step 2: Convert to fraction form
    1,985.82/2,980.09 = 891.41/x
  3. Step 3: Cross multiply
    1,985.82x = 2,980.09 × 891.41
  4. Step 4: Simplify right side
    1,985.82x = 2,656,467.13
  5. Step 5: Solve for x
    x = 2,656,467.13/1,985.82
  6. Step 6: Final answer
    x = 1,337.72

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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.