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Finding the Fourth Proportional to 6,144.77, 8,480 and 3,492.62

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Solution

The fourth proportional to 6,144.77, 8,480 and 3,492.62 is: 4,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.77 : 8,480 = 3,492.62 : x
  2. Step 2: Convert to fraction form
    6,144.77/8,480 = 3,492.62/x
  3. Step 3: Cross multiply
    6,144.77x = 8,480 × 3,492.62
  4. Step 4: Simplify right side
    6,144.77x = 29,617,417.60
  5. Step 5: Solve for x
    x = 29,617,417.60/6,144.77
  6. Step 6: Final answer
    x = 4,819.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.