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Finding the Fourth Proportional to 3,968.16, 5,478.72 and 3,547.16

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Solution

The fourth proportional to 3,968.16, 5,478.72 and 3,547.16 is: 4,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.16 : 5,478.72 = 3,547.16 : x
  2. Step 2: Convert to fraction form
    3,968.16/5,478.72 = 3,547.16/x
  3. Step 3: Cross multiply
    3,968.16x = 5,478.72 × 3,547.16
  4. Step 4: Simplify right side
    3,968.16x = 19,433,896.44
  5. Step 5: Solve for x
    x = 19,433,896.44/3,968.16
  6. Step 6: Final answer
    x = 4,897.46

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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.