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Finding the Fourth Proportional to 12,148.94, 16,769.73 and 7,114.78

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Solution

The fourth proportional to 12,148.94, 16,769.73 and 7,114.78 is: 9,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.94 : 16,769.73 = 7,114.78 : x
  2. Step 2: Convert to fraction form
    12,148.94/16,769.73 = 7,114.78/x
  3. Step 3: Cross multiply
    12,148.94x = 16,769.73 × 7,114.78
  4. Step 4: Simplify right side
    12,148.94x = 119,312,987.25
  5. Step 5: Solve for x
    x = 119,312,987.25/12,148.94
  6. Step 6: Final answer
    x = 9,820.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.