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Finding the Fourth Proportional to 3,642.03, 5,025.78 and 2,070

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Solution

The fourth proportional to 3,642.03, 5,025.78 and 2,070 is: 2,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.03 : 5,025.78 = 2,070 : x
  2. Step 2: Convert to fraction form
    3,642.03/5,025.78 = 2,070/x
  3. Step 3: Cross multiply
    3,642.03x = 5,025.78 × 2,070
  4. Step 4: Simplify right side
    3,642.03x = 10,403,364.60
  5. Step 5: Solve for x
    x = 10,403,364.60/3,642.03
  6. Step 6: Final answer
    x = 2,856.47

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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.