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Finding the Fourth Proportional to 8,646, 12,978.24 and 3,718.08

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Solution

The fourth proportional to 8,646, 12,978.24 and 3,718.08 is: 5,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646 : 12,978.24 = 3,718.08 : x
  2. Step 2: Convert to fraction form
    8,646/12,978.24 = 3,718.08/x
  3. Step 3: Cross multiply
    8,646x = 12,978.24 × 3,718.08
  4. Step 4: Simplify right side
    8,646x = 48,254,134.58
  5. Step 5: Solve for x
    x = 48,254,134.58/8,646
  6. Step 6: Final answer
    x = 5,581.09

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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.