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Finding the Fourth Proportional to 7,714.41, 11,571.62 and 1,870.97

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Solution

The fourth proportional to 7,714.41, 11,571.62 and 1,870.97 is: 2,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.41 : 11,571.62 = 1,870.97 : x
  2. Step 2: Convert to fraction form
    7,714.41/11,571.62 = 1,870.97/x
  3. Step 3: Cross multiply
    7,714.41x = 11,571.62 × 1,870.97
  4. Step 4: Simplify right side
    7,714.41x = 21,650,130.05
  5. Step 5: Solve for x
    x = 21,650,130.05/7,714.41
  6. Step 6: Final answer
    x = 2,806.45

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Similar ratio
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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.