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Finding the Fourth Proportional to 6,147, 8,483.58 and 3,494.81

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Solution

The fourth proportional to 6,147, 8,483.58 and 3,494.81 is: 4,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147 : 8,483.58 = 3,494.81 : x
  2. Step 2: Convert to fraction form
    6,147/8,483.58 = 3,494.81/x
  3. Step 3: Cross multiply
    6,147x = 8,483.58 × 3,494.81
  4. Step 4: Simplify right side
    6,147x = 29,648,457.80
  5. Step 5: Solve for x
    x = 29,648,457.80/6,147
  6. Step 6: Final answer
    x = 4,823.24

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1.5x scale

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.