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Finding the Fourth Proportional to 2,196, 3,030.48 and 2,010.11

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Solution

The fourth proportional to 2,196, 3,030.48 and 2,010.11 is: 2,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196 : 3,030.48 = 2,010.11 : x
  2. Step 2: Convert to fraction form
    2,196/3,030.48 = 2,010.11/x
  3. Step 3: Cross multiply
    2,196x = 3,030.48 × 2,010.11
  4. Step 4: Simplify right side
    2,196x = 6,091,583.00
  5. Step 5: Solve for x
    x = 6,091,583.00/2,196
  6. Step 6: Final answer
    x = 2,773.94

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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.