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Finding the Fourth Proportional to 9,156.40, 13,736.40 and 3,312.88

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Solution

The fourth proportional to 9,156.40, 13,736.40 and 3,312.88 is: 4,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.40 : 13,736.40 = 3,312.88 : x
  2. Step 2: Convert to fraction form
    9,156.40/13,736.40 = 3,312.88/x
  3. Step 3: Cross multiply
    9,156.40x = 13,736.40 × 3,312.88
  4. Step 4: Simplify right side
    9,156.40x = 45,507,044.83
  5. Step 5: Solve for x
    x = 45,507,044.83/9,156.40
  6. Step 6: Final answer
    x = 4,969.97

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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.