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Finding the Fourth Proportional to 7,601.42, 10,489.42 and 4,457

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Solution

The fourth proportional to 7,601.42, 10,489.42 and 4,457 is: 6,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.42 : 10,489.42 = 4,457 : x
  2. Step 2: Convert to fraction form
    7,601.42/10,489.42 = 4,457/x
  3. Step 3: Cross multiply
    7,601.42x = 10,489.42 × 4,457
  4. Step 4: Simplify right side
    7,601.42x = 46,751,344.94
  5. Step 5: Solve for x
    x = 46,751,344.94/7,601.42
  6. Step 6: Final answer
    x = 6,150.34

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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.