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Finding the Fourth Proportional to 7,804.35, 11,707.10 and 2,257.72

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Solution

The fourth proportional to 7,804.35, 11,707.10 and 2,257.72 is: 3,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.35 : 11,707.10 = 2,257.72 : x
  2. Step 2: Convert to fraction form
    7,804.35/11,707.10 = 2,257.72/x
  3. Step 3: Cross multiply
    7,804.35x = 11,707.10 × 2,257.72
  4. Step 4: Simplify right side
    7,804.35x = 26,431,353.81
  5. Step 5: Solve for x
    x = 26,431,353.81/7,804.35
  6. Step 6: Final answer
    x = 3,386.75

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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.