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Finding the Fourth Proportional to 2,384.52, 3,578.40 and 1,289.00

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Solution

The fourth proportional to 2,384.52, 3,578.40 and 1,289.00 is: 1,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.52 : 3,578.40 = 1,289.00 : x
  2. Step 2: Convert to fraction form
    2,384.52/3,578.40 = 1,289.00/x
  3. Step 3: Cross multiply
    2,384.52x = 3,578.40 × 1,289.00
  4. Step 4: Simplify right side
    2,384.52x = 4,612,539.71
  5. Step 5: Solve for x
    x = 4,612,539.71/2,384.52
  6. Step 6: Final answer
    x = 1,934.37

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