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Finding the Fourth Proportional to 9,156.48, 13,738.64 and 2,917

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Solution

The fourth proportional to 9,156.48, 13,738.64 and 2,917 is: 4,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.48 : 13,738.64 = 2,917 : x
  2. Step 2: Convert to fraction form
    9,156.48/13,738.64 = 2,917/x
  3. Step 3: Cross multiply
    9,156.48x = 13,738.64 × 2,917
  4. Step 4: Simplify right side
    9,156.48x = 40,075,612.88
  5. Step 5: Solve for x
    x = 40,075,612.88/9,156.48
  6. Step 6: Final answer
    x = 4,376.75

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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.