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Finding the Fourth Proportional to 1,929.83, 2,890.85 and 1,830.20

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Solution

The fourth proportional to 1,929.83, 2,890.85 and 1,830.20 is: 2,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.83 : 2,890.85 = 1,830.20 : x
  2. Step 2: Convert to fraction form
    1,929.83/2,890.85 = 1,830.20/x
  3. Step 3: Cross multiply
    1,929.83x = 2,890.85 × 1,830.20
  4. Step 4: Simplify right side
    1,929.83x = 5,290,810.06
  5. Step 5: Solve for x
    x = 5,290,810.06/1,929.83
  6. Step 6: Final answer
    x = 2,741.60

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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.