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Finding the Fourth Proportional to 13,133, 18,123.54 and 9,778.70

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Solution

The fourth proportional to 13,133, 18,123.54 and 9,778.70 is: 13,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133 : 18,123.54 = 9,778.70 : x
  2. Step 2: Convert to fraction form
    13,133/18,123.54 = 9,778.70/x
  3. Step 3: Cross multiply
    13,133x = 18,123.54 × 9,778.70
  4. Step 4: Simplify right side
    13,133x = 177,224,660.60
  5. Step 5: Solve for x
    x = 177,224,660.60/13,133
  6. Step 6: Final answer
    x = 13,494.61

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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.