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Finding the Fourth Proportional to 2,115.90, 2,920 and 1,184.40

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Solution

The fourth proportional to 2,115.90, 2,920 and 1,184.40 is: 1,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.90 : 2,920 = 1,184.40 : x
  2. Step 2: Convert to fraction form
    2,115.90/2,920 = 1,184.40/x
  3. Step 3: Cross multiply
    2,115.90x = 2,920 × 1,184.40
  4. Step 4: Simplify right side
    2,115.90x = 3,458,448.00
  5. Step 5: Solve for x
    x = 3,458,448.00/2,115.90
  6. Step 6: Final answer
    x = 1,634.50

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Why These Related Problems?

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