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Finding the Fourth Proportional to 12,812.16, 19,216.08 and 3,576

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Solution

The fourth proportional to 12,812.16, 19,216.08 and 3,576 is: 5,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.16 : 19,216.08 = 3,576 : x
  2. Step 2: Convert to fraction form
    12,812.16/19,216.08 = 3,576/x
  3. Step 3: Cross multiply
    12,812.16x = 19,216.08 × 3,576
  4. Step 4: Simplify right side
    12,812.16x = 68,716,702.08
  5. Step 5: Solve for x
    x = 68,716,702.08/12,812.16
  6. Step 6: Final answer
    x = 5,363.40

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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.