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Finding the Fourth Proportional to 9,765.54, 14,615.91 and 7,804.26

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Solution

The fourth proportional to 9,765.54, 14,615.91 and 7,804.26 is: 11,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.54 : 14,615.91 = 7,804.26 : x
  2. Step 2: Convert to fraction form
    9,765.54/14,615.91 = 7,804.26/x
  3. Step 3: Cross multiply
    9,765.54x = 14,615.91 × 7,804.26
  4. Step 4: Simplify right side
    9,765.54x = 114,066,361.78
  5. Step 5: Solve for x
    x = 114,066,361.78/9,765.54
  6. Step 6: Final answer
    x = 11,680.50

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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.