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Finding the Fourth Proportional to 4,911.42, 6,777.42 and 2,922.12

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Solution

The fourth proportional to 4,911.42, 6,777.42 and 2,922.12 is: 4,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.42 : 6,777.42 = 2,922.12 : x
  2. Step 2: Convert to fraction form
    4,911.42/6,777.42 = 2,922.12/x
  3. Step 3: Cross multiply
    4,911.42x = 6,777.42 × 2,922.12
  4. Step 4: Simplify right side
    4,911.42x = 19,804,434.53
  5. Step 5: Solve for x
    x = 19,804,434.53/4,911.42
  6. Step 6: Final answer
    x = 4,032.32

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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.