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Finding the Fourth Proportional to 7,184.93, 10,777.40 and 1,990.80

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Solution

The fourth proportional to 7,184.93, 10,777.40 and 1,990.80 is: 2,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.93 : 10,777.40 = 1,990.80 : x
  2. Step 2: Convert to fraction form
    7,184.93/10,777.40 = 1,990.80/x
  3. Step 3: Cross multiply
    7,184.93x = 10,777.40 × 1,990.80
  4. Step 4: Simplify right side
    7,184.93x = 21,455,670.14
  5. Step 5: Solve for x
    x = 21,455,670.14/7,184.93
  6. Step 6: Final answer
    x = 2,986.21

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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.