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Finding the Fourth Proportional to 11,378.16, 17,059.95 and 7,858.31

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Solution

The fourth proportional to 11,378.16, 17,059.95 and 7,858.31 is: 11,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.16 : 17,059.95 = 7,858.31 : x
  2. Step 2: Convert to fraction form
    11,378.16/17,059.95 = 7,858.31/x
  3. Step 3: Cross multiply
    11,378.16x = 17,059.95 × 7,858.31
  4. Step 4: Simplify right side
    11,378.16x = 134,062,290.38
  5. Step 5: Solve for x
    x = 134,062,290.38/11,378.16
  6. Step 6: Final answer
    x = 11,782.42

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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.