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Finding the Fourth Proportional to 2,213, 3,048.64 and 1,548.60

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Solution

The fourth proportional to 2,213, 3,048.64 and 1,548.60 is: 2,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213 : 3,048.64 = 1,548.60 : x
  2. Step 2: Convert to fraction form
    2,213/3,048.64 = 1,548.60/x
  3. Step 3: Cross multiply
    2,213x = 3,048.64 × 1,548.60
  4. Step 4: Simplify right side
    2,213x = 4,721,123.90
  5. Step 5: Solve for x
    x = 4,721,123.90/2,213
  6. Step 6: Final answer
    x = 2,133.36

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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.