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Finding the Fourth Proportional to 2,987.94, 4,484.25 and 2,069.94

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Solution

The fourth proportional to 2,987.94, 4,484.25 and 2,069.94 is: 3,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.94 : 4,484.25 = 2,069.94 : x
  2. Step 2: Convert to fraction form
    2,987.94/4,484.25 = 2,069.94/x
  3. Step 3: Cross multiply
    2,987.94x = 4,484.25 × 2,069.94
  4. Step 4: Simplify right side
    2,987.94x = 9,282,128.45
  5. Step 5: Solve for x
    x = 9,282,128.45/2,987.94
  6. Step 6: Final answer
    x = 3,106.53

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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.