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Finding the Fourth Proportional to 5,205.88, 7,181.56 and 3,547

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Solution

The fourth proportional to 5,205.88, 7,181.56 and 3,547 is: 4,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.88 : 7,181.56 = 3,547 : x
  2. Step 2: Convert to fraction form
    5,205.88/7,181.56 = 3,547/x
  3. Step 3: Cross multiply
    5,205.88x = 7,181.56 × 3,547
  4. Step 4: Simplify right side
    5,205.88x = 25,472,993.32
  5. Step 5: Solve for x
    x = 25,472,993.32/5,205.88
  6. Step 6: Final answer
    x = 4,893.12

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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.