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Finding the Fourth Proportional to 1,985.99, 2,740.10 and 1,189.00

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Solution

The fourth proportional to 1,985.99, 2,740.10 and 1,189.00 is: 1,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.99 : 2,740.10 = 1,189.00 : x
  2. Step 2: Convert to fraction form
    1,985.99/2,740.10 = 1,189.00/x
  3. Step 3: Cross multiply
    1,985.99x = 2,740.10 × 1,189.00
  4. Step 4: Simplify right side
    1,985.99x = 3,257,994.12
  5. Step 5: Solve for x
    x = 3,257,994.12/1,985.99
  6. Step 6: Final answer
    x = 1,640.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.