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Finding the Fourth Proportional to 13,706.74, 18,912.76 and 8,328.07

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Solution

The fourth proportional to 13,706.74, 18,912.76 and 8,328.07 is: 11,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.74 : 18,912.76 = 8,328.07 : x
  2. Step 2: Convert to fraction form
    13,706.74/18,912.76 = 8,328.07/x
  3. Step 3: Cross multiply
    13,706.74x = 18,912.76 × 8,328.07
  4. Step 4: Simplify right side
    13,706.74x = 157,506,789.17
  5. Step 5: Solve for x
    x = 157,506,789.17/13,706.74
  6. Step 6: Final answer
    x = 11,491.19

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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.