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Finding the Fourth Proportional to 8,410.65, 12,615.95 and 4,664.72

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Solution

The fourth proportional to 8,410.65, 12,615.95 and 4,664.72 is: 6,997.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.65 : 12,615.95 = 4,664.72 : x
  2. Step 2: Convert to fraction form
    8,410.65/12,615.95 = 4,664.72/x
  3. Step 3: Cross multiply
    8,410.65x = 12,615.95 × 4,664.72
  4. Step 4: Simplify right side
    8,410.65x = 58,849,787.88
  5. Step 5: Solve for x
    x = 58,849,787.88/8,410.65
  6. Step 6: Final answer
    x = 6,997.06

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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.