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Finding the Fourth Proportional to 8,773, 12,106.74 and 5,047

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Solution

The fourth proportional to 8,773, 12,106.74 and 5,047 is: 6,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,773 : 12,106.74 = 5,047 : x
  2. Step 2: Convert to fraction form
    8,773/12,106.74 = 5,047/x
  3. Step 3: Cross multiply
    8,773x = 12,106.74 × 5,047
  4. Step 4: Simplify right side
    8,773x = 61,102,716.78
  5. Step 5: Solve for x
    x = 61,102,716.78/8,773
  6. Step 6: Final answer
    x = 6,964.86

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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.