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Finding the Fourth Proportional to 2,967.51, 4,450.86 and 776.19

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Solution

The fourth proportional to 2,967.51, 4,450.86 and 776.19 is: 1,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.51 : 4,450.86 = 776.19 : x
  2. Step 2: Convert to fraction form
    2,967.51/4,450.86 = 776.19/x
  3. Step 3: Cross multiply
    2,967.51x = 4,450.86 × 776.19
  4. Step 4: Simplify right side
    2,967.51x = 3,454,713.02
  5. Step 5: Solve for x
    x = 3,454,713.02/2,967.51
  6. Step 6: Final answer
    x = 1,164.18

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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.