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Finding the Fourth Proportional to 6,602.36, 9,111.38 and 3,618

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Solution

The fourth proportional to 6,602.36, 9,111.38 and 3,618 is: 4,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.36 : 9,111.38 = 3,618 : x
  2. Step 2: Convert to fraction form
    6,602.36/9,111.38 = 3,618/x
  3. Step 3: Cross multiply
    6,602.36x = 9,111.38 × 3,618
  4. Step 4: Simplify right side
    6,602.36x = 32,964,972.84
  5. Step 5: Solve for x
    x = 32,964,972.84/6,602.36
  6. Step 6: Final answer
    x = 4,992.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.