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Finding the Fourth Proportional to 11,157.63, 15,393.69 and 7,804.23

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Solution

The fourth proportional to 11,157.63, 15,393.69 and 7,804.23 is: 10,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.63 : 15,393.69 = 7,804.23 : x
  2. Step 2: Convert to fraction form
    11,157.63/15,393.69 = 7,804.23/x
  3. Step 3: Cross multiply
    11,157.63x = 15,393.69 × 7,804.23
  4. Step 4: Simplify right side
    11,157.63x = 120,135,897.31
  5. Step 5: Solve for x
    x = 120,135,897.31/11,157.63
  6. Step 6: Final answer
    x = 10,767.15

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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.