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Finding the Fourth Proportional to 1,855.77, 2,784.26 and 989.88

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Solution

The fourth proportional to 1,855.77, 2,784.26 and 989.88 is: 1,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.77 : 2,784.26 = 989.88 : x
  2. Step 2: Convert to fraction form
    1,855.77/2,784.26 = 989.88/x
  3. Step 3: Cross multiply
    1,855.77x = 2,784.26 × 989.88
  4. Step 4: Simplify right side
    1,855.77x = 2,756,083.29
  5. Step 5: Solve for x
    x = 2,756,083.29/1,855.77
  6. Step 6: Final answer
    x = 1,485.14

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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.