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Finding the Fourth Proportional to 6,987.84, 10,467.38 and 3,693.98

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Solution

The fourth proportional to 6,987.84, 10,467.38 and 3,693.98 is: 5,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.84 : 10,467.38 = 3,693.98 : x
  2. Step 2: Convert to fraction form
    6,987.84/10,467.38 = 3,693.98/x
  3. Step 3: Cross multiply
    6,987.84x = 10,467.38 × 3,693.98
  4. Step 4: Simplify right side
    6,987.84x = 38,666,292.37
  5. Step 5: Solve for x
    x = 38,666,292.37/6,987.84
  6. Step 6: Final answer
    x = 5,533.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.