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Finding the Fourth Proportional to 2,977.33, 4,465.92 and 786.08

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Solution

The fourth proportional to 2,977.33, 4,465.92 and 786.08 is: 1,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.33 : 4,465.92 = 786.08 : x
  2. Step 2: Convert to fraction form
    2,977.33/4,465.92 = 786.08/x
  3. Step 3: Cross multiply
    2,977.33x = 4,465.92 × 786.08
  4. Step 4: Simplify right side
    2,977.33x = 3,510,570.84
  5. Step 5: Solve for x
    x = 3,510,570.84/2,977.33
  6. Step 6: Final answer
    x = 1,179.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.