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Finding the Fourth Proportional to 11,368.87, 15,676.50 and 7,784.41

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Solution

The fourth proportional to 11,368.87, 15,676.50 and 7,784.41 is: 10,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368.87 : 15,676.50 = 7,784.41 : x
  2. Step 2: Convert to fraction form
    11,368.87/15,676.50 = 7,784.41/x
  3. Step 3: Cross multiply
    11,368.87x = 15,676.50 × 7,784.41
  4. Step 4: Simplify right side
    11,368.87x = 122,032,303.37
  5. Step 5: Solve for x
    x = 122,032,303.37/11,368.87
  6. Step 6: Final answer
    x = 10,733.90

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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.