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Finding the Fourth Proportional to 8,575, 12,863.52 and 3,027.20

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Solution

The fourth proportional to 8,575, 12,863.52 and 3,027.20 is: 4,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575 : 12,863.52 = 3,027.20 : x
  2. Step 2: Convert to fraction form
    8,575/12,863.52 = 3,027.20/x
  3. Step 3: Cross multiply
    8,575x = 12,863.52 × 3,027.20
  4. Step 4: Simplify right side
    8,575x = 38,940,447.74
  5. Step 5: Solve for x
    x = 38,940,447.74/8,575
  6. Step 6: Final answer
    x = 4,541.16

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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.