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Finding the Fourth Proportional to 12,586.40, 18,879.60 and 5,188.40

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Solution

The fourth proportional to 12,586.40, 18,879.60 and 5,188.40 is: 7,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.40 : 18,879.60 = 5,188.40 : x
  2. Step 2: Convert to fraction form
    12,586.40/18,879.60 = 5,188.40/x
  3. Step 3: Cross multiply
    12,586.40x = 18,879.60 × 5,188.40
  4. Step 4: Simplify right side
    12,586.40x = 97,954,916.64
  5. Step 5: Solve for x
    x = 97,954,916.64/12,586.40
  6. Step 6: Final answer
    x = 7,782.60

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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.