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Finding the Fourth Proportional to 7,146, 9,861.48 and 4,350.96

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Solution

The fourth proportional to 7,146, 9,861.48 and 4,350.96 is: 6,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146 : 9,861.48 = 4,350.96 : x
  2. Step 2: Convert to fraction form
    7,146/9,861.48 = 4,350.96/x
  3. Step 3: Cross multiply
    7,146x = 9,861.48 × 4,350.96
  4. Step 4: Simplify right side
    7,146x = 42,906,905.02
  5. Step 5: Solve for x
    x = 42,906,905.02/7,146
  6. Step 6: Final answer
    x = 6,004.32

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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.