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Finding the Fourth Proportional to 7,763.68, 11,645.46 and 1,920.31

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Solution

The fourth proportional to 7,763.68, 11,645.46 and 1,920.31 is: 2,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.68 : 11,645.46 = 1,920.31 : x
  2. Step 2: Convert to fraction form
    7,763.68/11,645.46 = 1,920.31/x
  3. Step 3: Cross multiply
    7,763.68x = 11,645.46 × 1,920.31
  4. Step 4: Simplify right side
    7,763.68x = 22,362,893.29
  5. Step 5: Solve for x
    x = 22,362,893.29/7,763.68
  6. Step 6: Final answer
    x = 2,880.45

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1.5x scale

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.