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Finding the Fourth Proportional to 2,087.12, 3,130.74 and 990.92

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Solution

The fourth proportional to 2,087.12, 3,130.74 and 990.92 is: 1,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.12 : 3,130.74 = 990.92 : x
  2. Step 2: Convert to fraction form
    2,087.12/3,130.74 = 990.92/x
  3. Step 3: Cross multiply
    2,087.12x = 3,130.74 × 990.92
  4. Step 4: Simplify right side
    2,087.12x = 3,102,297.23
  5. Step 5: Solve for x
    x = 3,102,297.23/2,087.12
  6. Step 6: Final answer
    x = 1,486.40

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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.