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Finding the Fourth Proportional to 11,509.77, 15,881.07 and 6,791.32

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Solution

The fourth proportional to 11,509.77, 15,881.07 and 6,791.32 is: 9,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.77 : 15,881.07 = 6,791.32 : x
  2. Step 2: Convert to fraction form
    11,509.77/15,881.07 = 6,791.32/x
  3. Step 3: Cross multiply
    11,509.77x = 15,881.07 × 6,791.32
  4. Step 4: Simplify right side
    11,509.77x = 107,853,428.31
  5. Step 5: Solve for x
    x = 107,853,428.31/11,509.77
  6. Step 6: Final answer
    x = 9,370.60

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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.