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Finding the Fourth Proportional to 13,123.69, 19,685.53 and 3,889.69

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Solution

The fourth proportional to 13,123.69, 19,685.53 and 3,889.69 is: 5,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.69 : 19,685.53 = 3,889.69 : x
  2. Step 2: Convert to fraction form
    13,123.69/19,685.53 = 3,889.69/x
  3. Step 3: Cross multiply
    13,123.69x = 19,685.53 × 3,889.69
  4. Step 4: Simplify right side
    13,123.69x = 76,570,564.83
  5. Step 5: Solve for x
    x = 76,570,564.83/13,123.69
  6. Step 6: Final answer
    x = 5,834.53

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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.