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Finding the Fourth Proportional to 2,362.78, 3,260.50 and 1,300.52

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Solution

The fourth proportional to 2,362.78, 3,260.50 and 1,300.52 is: 1,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.78 : 3,260.50 = 1,300.52 : x
  2. Step 2: Convert to fraction form
    2,362.78/3,260.50 = 1,300.52/x
  3. Step 3: Cross multiply
    2,362.78x = 3,260.50 × 1,300.52
  4. Step 4: Simplify right side
    2,362.78x = 4,240,345.46
  5. Step 5: Solve for x
    x = 4,240,345.46/2,362.78
  6. Step 6: Final answer
    x = 1,794.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.