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Finding the Fourth Proportional to 1,985.22, 2,977.98 and 889.71

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Solution

The fourth proportional to 1,985.22, 2,977.98 and 889.71 is: 1,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.22 : 2,977.98 = 889.71 : x
  2. Step 2: Convert to fraction form
    1,985.22/2,977.98 = 889.71/x
  3. Step 3: Cross multiply
    1,985.22x = 2,977.98 × 889.71
  4. Step 4: Simplify right side
    1,985.22x = 2,649,538.59
  5. Step 5: Solve for x
    x = 2,649,538.59/1,985.22
  6. Step 6: Final answer
    x = 1,334.63

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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.