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Finding the Fourth Proportional to 2,188.84, 3,020.10 and 1,305

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Solution

The fourth proportional to 2,188.84, 3,020.10 and 1,305 is: 1,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.84 : 3,020.10 = 1,305 : x
  2. Step 2: Convert to fraction form
    2,188.84/3,020.10 = 1,305/x
  3. Step 3: Cross multiply
    2,188.84x = 3,020.10 × 1,305
  4. Step 4: Simplify right side
    2,188.84x = 3,941,230.50
  5. Step 5: Solve for x
    x = 3,941,230.50/2,188.84
  6. Step 6: Final answer
    x = 1,800.60

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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.