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Finding the Fourth Proportional to 2,011.78, 2,776.47 and 1,127.74

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Solution

The fourth proportional to 2,011.78, 2,776.47 and 1,127.74 is: 1,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.78 : 2,776.47 = 1,127.74 : x
  2. Step 2: Convert to fraction form
    2,011.78/2,776.47 = 1,127.74/x
  3. Step 3: Cross multiply
    2,011.78x = 2,776.47 × 1,127.74
  4. Step 4: Simplify right side
    2,011.78x = 3,131,136.28
  5. Step 5: Solve for x
    x = 3,131,136.28/2,011.78
  6. Step 6: Final answer
    x = 1,556.40

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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.