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Finding the Fourth Proportional to 9,840.96, 13,576.32 and 9,164.88

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Solution

The fourth proportional to 9,840.96, 13,576.32 and 9,164.88 is: 12,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.96 : 13,576.32 = 9,164.88 : x
  2. Step 2: Convert to fraction form
    9,840.96/13,576.32 = 9,164.88/x
  3. Step 3: Cross multiply
    9,840.96x = 13,576.32 × 9,164.88
  4. Step 4: Simplify right side
    9,840.96x = 124,425,343.64
  5. Step 5: Solve for x
    x = 124,425,343.64/9,840.96
  6. Step 6: Final answer
    x = 12,643.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.