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Finding the Fourth Proportional to 2,102.61, 2,902.23 and 1,218.81

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Solution

The fourth proportional to 2,102.61, 2,902.23 and 1,218.81 is: 1,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.61 : 2,902.23 = 1,218.81 : x
  2. Step 2: Convert to fraction form
    2,102.61/2,902.23 = 1,218.81/x
  3. Step 3: Cross multiply
    2,102.61x = 2,902.23 × 1,218.81
  4. Step 4: Simplify right side
    2,102.61x = 3,537,266.95
  5. Step 5: Solve for x
    x = 3,537,266.95/2,102.61
  6. Step 6: Final answer
    x = 1,682.32

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1.5x scale

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.