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Finding the Fourth Proportional to 12,812, 19,225.56 and 5,416

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Solution

The fourth proportional to 12,812, 19,225.56 and 5,416 is: 8,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812 : 19,225.56 = 5,416 : x
  2. Step 2: Convert to fraction form
    12,812/19,225.56 = 5,416/x
  3. Step 3: Cross multiply
    12,812x = 19,225.56 × 5,416
  4. Step 4: Simplify right side
    12,812x = 104,125,632.96
  5. Step 5: Solve for x
    x = 104,125,632.96/12,812
  6. Step 6: Final answer
    x = 8,127.20

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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.