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Finding the Fourth Proportional to 7,750.64, 11,625.96 and 1,907.26

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Solution

The fourth proportional to 7,750.64, 11,625.96 and 1,907.26 is: 2,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.64 : 11,625.96 = 1,907.26 : x
  2. Step 2: Convert to fraction form
    7,750.64/11,625.96 = 1,907.26/x
  3. Step 3: Cross multiply
    7,750.64x = 11,625.96 × 1,907.26
  4. Step 4: Simplify right side
    7,750.64x = 22,173,728.47
  5. Step 5: Solve for x
    x = 22,173,728.47/7,750.64
  6. Step 6: Final answer
    x = 2,860.89

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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.