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Finding the Fourth Proportional to 8,563.64, 12,815.08 and 5,043.38

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Solution

The fourth proportional to 8,563.64, 12,815.08 and 5,043.38 is: 7,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.64 : 12,815.08 = 5,043.38 : x
  2. Step 2: Convert to fraction form
    8,563.64/12,815.08 = 5,043.38/x
  3. Step 3: Cross multiply
    8,563.64x = 12,815.08 × 5,043.38
  4. Step 4: Simplify right side
    8,563.64x = 64,631,241.49
  5. Step 5: Solve for x
    x = 64,631,241.49/8,563.64
  6. Step 6: Final answer
    x = 7,547.17

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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.