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Finding the Fourth Proportional to 2,384.61, 3,290.78 and 1,390.58

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Solution

The fourth proportional to 2,384.61, 3,290.78 and 1,390.58 is: 1,919.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.61 : 3,290.78 = 1,390.58 : x
  2. Step 2: Convert to fraction form
    2,384.61/3,290.78 = 1,390.58/x
  3. Step 3: Cross multiply
    2,384.61x = 3,290.78 × 1,390.58
  4. Step 4: Simplify right side
    2,384.61x = 4,576,069.45
  5. Step 5: Solve for x
    x = 4,576,069.45/2,384.61
  6. Step 6: Final answer
    x = 1,919.00

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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.