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Finding the Fourth Proportional to 13,123.70, 19,696.93 and 6,888.12

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Solution

The fourth proportional to 13,123.70, 19,696.93 and 6,888.12 is: 10,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.70 : 19,696.93 = 6,888.12 : x
  2. Step 2: Convert to fraction form
    13,123.70/19,696.93 = 6,888.12/x
  3. Step 3: Cross multiply
    13,123.70x = 19,696.93 × 6,888.12
  4. Step 4: Simplify right side
    13,123.70x = 135,674,800.25
  5. Step 5: Solve for x
    x = 135,674,800.25/13,123.70
  6. Step 6: Final answer
    x = 10,338.15

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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.