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Finding the Fourth Proportional to 6,656.34, 9,986.40 and 3,368.82

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Solution

The fourth proportional to 6,656.34, 9,986.40 and 3,368.82 is: 5,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.34 : 9,986.40 = 3,368.82 : x
  2. Step 2: Convert to fraction form
    6,656.34/9,986.40 = 3,368.82/x
  3. Step 3: Cross multiply
    6,656.34x = 9,986.40 × 3,368.82
  4. Step 4: Simplify right side
    6,656.34x = 33,642,384.05
  5. Step 5: Solve for x
    x = 33,642,384.05/6,656.34
  6. Step 6: Final answer
    x = 5,054.19

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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.