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Finding the Fourth Proportional to 2,897.28, 4,345.76 and 789

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Solution

The fourth proportional to 2,897.28, 4,345.76 and 789 is: 1,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.28 : 4,345.76 = 789 : x
  2. Step 2: Convert to fraction form
    2,897.28/4,345.76 = 789/x
  3. Step 3: Cross multiply
    2,897.28x = 4,345.76 × 789
  4. Step 4: Simplify right side
    2,897.28x = 3,428,804.64
  5. Step 5: Solve for x
    x = 3,428,804.64/2,897.28
  6. Step 6: Final answer
    x = 1,183.46

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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.