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Finding the Fourth Proportional to 2,622.90, 3,925.82 and 1,929.40

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Solution

The fourth proportional to 2,622.90, 3,925.82 and 1,929.40 is: 2,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.90 : 3,925.82 = 1,929.40 : x
  2. Step 2: Convert to fraction form
    2,622.90/3,925.82 = 1,929.40/x
  3. Step 3: Cross multiply
    2,622.90x = 3,925.82 × 1,929.40
  4. Step 4: Simplify right side
    2,622.90x = 7,574,477.11
  5. Step 5: Solve for x
    x = 7,574,477.11/2,622.90
  6. Step 6: Final answer
    x = 2,887.83

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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.