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Finding the Fourth Proportional to 2,913.62, 4,016.12 and 1,969.12

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Solution

The fourth proportional to 2,913.62, 4,016.12 and 1,969.12 is: 2,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.62 : 4,016.12 = 1,969.12 : x
  2. Step 2: Convert to fraction form
    2,913.62/4,016.12 = 1,969.12/x
  3. Step 3: Cross multiply
    2,913.62x = 4,016.12 × 1,969.12
  4. Step 4: Simplify right side
    2,913.62x = 7,908,222.21
  5. Step 5: Solve for x
    x = 7,908,222.21/2,913.62
  6. Step 6: Final answer
    x = 2,714.23

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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.