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Finding the Fourth Proportional to 8,564.43, 12,846.65 and 3,018.20

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Solution

The fourth proportional to 8,564.43, 12,846.65 and 3,018.20 is: 4,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.43 : 12,846.65 = 3,018.20 : x
  2. Step 2: Convert to fraction form
    8,564.43/12,846.65 = 3,018.20/x
  3. Step 3: Cross multiply
    8,564.43x = 12,846.65 × 3,018.20
  4. Step 4: Simplify right side
    8,564.43x = 38,773,810.81
  5. Step 5: Solve for x
    x = 38,773,810.81/8,564.43
  6. Step 6: Final answer
    x = 4,527.31

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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.