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Finding the Fourth Proportional to 2,012.99, 2,777.63 and 1,216.35

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Solution

The fourth proportional to 2,012.99, 2,777.63 and 1,216.35 is: 1,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.99 : 2,777.63 = 1,216.35 : x
  2. Step 2: Convert to fraction form
    2,012.99/2,777.63 = 1,216.35/x
  3. Step 3: Cross multiply
    2,012.99x = 2,777.63 × 1,216.35
  4. Step 4: Simplify right side
    2,012.99x = 3,378,564.17
  5. Step 5: Solve for x
    x = 3,378,564.17/2,012.99
  6. Step 6: Final answer
    x = 1,678.39

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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.