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Finding the Fourth Proportional to 12,916.96, 19,374.76 and 4,151.19

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Solution

The fourth proportional to 12,916.96, 19,374.76 and 4,151.19 is: 6,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.96 : 19,374.76 = 4,151.19 : x
  2. Step 2: Convert to fraction form
    12,916.96/19,374.76 = 4,151.19/x
  3. Step 3: Cross multiply
    12,916.96x = 19,374.76 × 4,151.19
  4. Step 4: Simplify right side
    12,916.96x = 80,428,309.96
  5. Step 5: Solve for x
    x = 80,428,309.96/12,916.96
  6. Step 6: Final answer
    x = 6,226.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.