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Finding the Fourth Proportional to 7,188.13, 10,782.19 and 1,994

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Solution

The fourth proportional to 7,188.13, 10,782.19 and 1,994 is: 2,991.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.13 : 10,782.19 = 1,994 : x
  2. Step 2: Convert to fraction form
    7,188.13/10,782.19 = 1,994/x
  3. Step 3: Cross multiply
    7,188.13x = 10,782.19 × 1,994
  4. Step 4: Simplify right side
    7,188.13x = 21,499,686.86
  5. Step 5: Solve for x
    x = 21,499,686.86/7,188.13
  6. Step 6: Final answer
    x = 2,991.00

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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.