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Finding the Fourth Proportional to 2,968.76, 4,453.84 and 1,021

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Solution

The fourth proportional to 2,968.76, 4,453.84 and 1,021 is: 1,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.76 : 4,453.84 = 1,021 : x
  2. Step 2: Convert to fraction form
    2,968.76/4,453.84 = 1,021/x
  3. Step 3: Cross multiply
    2,968.76x = 4,453.84 × 1,021
  4. Step 4: Simplify right side
    2,968.76x = 4,547,370.64
  5. Step 5: Solve for x
    x = 4,547,370.64/2,968.76
  6. Step 6: Final answer
    x = 1,531.74

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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.