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Finding the Fourth Proportional to 12,815.10, 19,224.63 and 5,419.60

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Solution

The fourth proportional to 12,815.10, 19,224.63 and 5,419.60 is: 8,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.10 : 19,224.63 = 5,419.60 : x
  2. Step 2: Convert to fraction form
    12,815.10/19,224.63 = 5,419.60/x
  3. Step 3: Cross multiply
    12,815.10x = 19,224.63 × 5,419.60
  4. Step 4: Simplify right side
    12,815.10x = 104,189,804.75
  5. Step 5: Solve for x
    x = 104,189,804.75/12,815.10
  6. Step 6: Final answer
    x = 8,130.24

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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.