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Finding the Fourth Proportional to 12,809.82, 19,215.72 and 4,916.13

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Solution

The fourth proportional to 12,809.82, 19,215.72 and 4,916.13 is: 7,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.82 : 19,215.72 = 4,916.13 : x
  2. Step 2: Convert to fraction form
    12,809.82/19,215.72 = 4,916.13/x
  3. Step 3: Cross multiply
    12,809.82x = 19,215.72 × 4,916.13
  4. Step 4: Simplify right side
    12,809.82x = 94,466,977.56
  5. Step 5: Solve for x
    x = 94,466,977.56/12,809.82
  6. Step 6: Final answer
    x = 7,374.57

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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.