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Finding the Fourth Proportional to 12,812.40, 19,219.40 and 5,415.88

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Solution

The fourth proportional to 12,812.40, 19,219.40 and 5,415.88 is: 8,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.40 : 19,219.40 = 5,415.88 : x
  2. Step 2: Convert to fraction form
    12,812.40/19,219.40 = 5,415.88/x
  3. Step 3: Cross multiply
    12,812.40x = 19,219.40 × 5,415.88
  4. Step 4: Simplify right side
    12,812.40x = 104,089,977.61
  5. Step 5: Solve for x
    x = 104,089,977.61/12,812.40
  6. Step 6: Final answer
    x = 8,124.16

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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.