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Finding the Fourth Proportional to 3,547.78, 4,895.74 and 1,954.38

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Solution

The fourth proportional to 3,547.78, 4,895.74 and 1,954.38 is: 2,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.78 : 4,895.74 = 1,954.38 : x
  2. Step 2: Convert to fraction form
    3,547.78/4,895.74 = 1,954.38/x
  3. Step 3: Cross multiply
    3,547.78x = 4,895.74 × 1,954.38
  4. Step 4: Simplify right side
    3,547.78x = 9,568,129.60
  5. Step 5: Solve for x
    x = 9,568,129.60/3,547.78
  6. Step 6: Final answer
    x = 2,696.93

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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.