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Finding the Fourth Proportional to 7,477, 10,321.50 and 4,684.12

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Solution

The fourth proportional to 7,477, 10,321.50 and 4,684.12 is: 6,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477 : 10,321.50 = 4,684.12 : x
  2. Step 2: Convert to fraction form
    7,477/10,321.50 = 4,684.12/x
  3. Step 3: Cross multiply
    7,477x = 10,321.50 × 4,684.12
  4. Step 4: Simplify right side
    7,477x = 48,347,144.58
  5. Step 5: Solve for x
    x = 48,347,144.58/7,477
  6. Step 6: Final answer
    x = 6,466.12

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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.