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Finding the Fourth Proportional to 6,137.56, 8,470 and 3,484.80

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Solution

The fourth proportional to 6,137.56, 8,470 and 3,484.80 is: 4,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.56 : 8,470 = 3,484.80 : x
  2. Step 2: Convert to fraction form
    6,137.56/8,470 = 3,484.80/x
  3. Step 3: Cross multiply
    6,137.56x = 8,470 × 3,484.80
  4. Step 4: Simplify right side
    6,137.56x = 29,516,256
  5. Step 5: Solve for x
    x = 29,516,256/6,137.56
  6. Step 6: Final answer
    x = 4,809.12

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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.