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Finding the Fourth Proportional to 12,916.80, 19,389.60 and 7,084.80

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Solution

The fourth proportional to 12,916.80, 19,389.60 and 7,084.80 is: 10,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.80 : 19,389.60 = 7,084.80 : x
  2. Step 2: Convert to fraction form
    12,916.80/19,389.60 = 7,084.80/x
  3. Step 3: Cross multiply
    12,916.80x = 19,389.60 × 7,084.80
  4. Step 4: Simplify right side
    12,916.80x = 137,371,438.08
  5. Step 5: Solve for x
    x = 137,371,438.08/12,916.80
  6. Step 6: Final answer
    x = 10,635.10

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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.