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Finding the Fourth Proportional to 12,148.90, 16,773.23 and 9,916.11

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Solution

The fourth proportional to 12,148.90, 16,773.23 and 9,916.11 is: 13,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.90 : 16,773.23 = 9,916.11 : x
  2. Step 2: Convert to fraction form
    12,148.90/16,773.23 = 9,916.11/x
  3. Step 3: Cross multiply
    12,148.90x = 16,773.23 × 9,916.11
  4. Step 4: Simplify right side
    12,148.90x = 166,325,193.74
  5. Step 5: Solve for x
    x = 166,325,193.74/12,148.90
  6. Step 6: Final answer
    x = 13,690.56

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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.