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Finding the Fourth Proportional to 2,967.95, 4,451.93 and 776.90

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Solution

The fourth proportional to 2,967.95, 4,451.93 and 776.90 is: 1,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.95 : 4,451.93 = 776.90 : x
  2. Step 2: Convert to fraction form
    2,967.95/4,451.93 = 776.90/x
  3. Step 3: Cross multiply
    2,967.95x = 4,451.93 × 776.90
  4. Step 4: Simplify right side
    2,967.95x = 3,458,678.27
  5. Step 5: Solve for x
    x = 3,458,678.27/2,967.95
  6. Step 6: Final answer
    x = 1,165.34

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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.