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Finding the Fourth Proportional to 12,509.60, 18,771.60 and 4,719.20

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Solution

The fourth proportional to 12,509.60, 18,771.60 and 4,719.20 is: 7,081.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.60 : 18,771.60 = 4,719.20 : x
  2. Step 2: Convert to fraction form
    12,509.60/18,771.60 = 4,719.20/x
  3. Step 3: Cross multiply
    12,509.60x = 18,771.60 × 4,719.20
  4. Step 4: Simplify right side
    12,509.60x = 88,586,934.72
  5. Step 5: Solve for x
    x = 88,586,934.72/12,509.60
  6. Step 6: Final answer
    x = 7,081.52

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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.