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Finding the Fourth Proportional to 2,812.78, 3,880.08 and 1,973.14

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Solution

The fourth proportional to 2,812.78, 3,880.08 and 1,973.14 is: 2,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.78 : 3,880.08 = 1,973.14 : x
  2. Step 2: Convert to fraction form
    2,812.78/3,880.08 = 1,973.14/x
  3. Step 3: Cross multiply
    2,812.78x = 3,880.08 × 1,973.14
  4. Step 4: Simplify right side
    2,812.78x = 7,655,941.05
  5. Step 5: Solve for x
    x = 7,655,941.05/2,812.78
  6. Step 6: Final answer
    x = 2,721.84

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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.