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Finding the Fourth Proportional to 3,618.88, 5,428.32 and 1,022.02

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Solution

The fourth proportional to 3,618.88, 5,428.32 and 1,022.02 is: 1,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.88 : 5,428.32 = 1,022.02 : x
  2. Step 2: Convert to fraction form
    3,618.88/5,428.32 = 1,022.02/x
  3. Step 3: Cross multiply
    3,618.88x = 5,428.32 × 1,022.02
  4. Step 4: Simplify right side
    3,618.88x = 5,547,851.61
  5. Step 5: Solve for x
    x = 5,547,851.61/3,618.88
  6. Step 6: Final answer
    x = 1,533.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.