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Finding the Fourth Proportional to 2,102.08, 2,900.96 and 1,218.08

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Solution

The fourth proportional to 2,102.08, 2,900.96 and 1,218.08 is: 1,681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.08 : 2,900.96 = 1,218.08 : x
  2. Step 2: Convert to fraction form
    2,102.08/2,900.96 = 1,218.08/x
  3. Step 3: Cross multiply
    2,102.08x = 2,900.96 × 1,218.08
  4. Step 4: Simplify right side
    2,102.08x = 3,533,601.36
  5. Step 5: Solve for x
    x = 3,533,601.36/2,102.08
  6. Step 6: Final answer
    x = 1,681.00

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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.