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Finding the Fourth Proportional to 1,999.13, 2,999.77 and 973.13

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Solution

The fourth proportional to 1,999.13, 2,999.77 and 973.13 is: 1,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.13 : 2,999.77 = 973.13 : x
  2. Step 2: Convert to fraction form
    1,999.13/2,999.77 = 973.13/x
  3. Step 3: Cross multiply
    1,999.13x = 2,999.77 × 973.13
  4. Step 4: Simplify right side
    1,999.13x = 2,919,148.75
  5. Step 5: Solve for x
    x = 2,919,148.75/1,999.13
  6. Step 6: Final answer
    x = 1,460.21

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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.