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Finding the Fourth Proportional to 9,356.64, 14,034.95 and 2,782.81

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Solution

The fourth proportional to 9,356.64, 14,034.95 and 2,782.81 is: 4,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.64 : 14,034.95 = 2,782.81 : x
  2. Step 2: Convert to fraction form
    9,356.64/14,034.95 = 2,782.81/x
  3. Step 3: Cross multiply
    9,356.64x = 14,034.95 × 2,782.81
  4. Step 4: Simplify right side
    9,356.64x = 39,056,599.21
  5. Step 5: Solve for x
    x = 39,056,599.21/9,356.64
  6. Step 6: Final answer
    x = 4,174.21

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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.