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Finding the Fourth Proportional to 5,720, 7,893.76 and 3,236.16

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Solution

The fourth proportional to 5,720, 7,893.76 and 3,236.16 is: 4,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720 : 7,893.76 = 3,236.16 : x
  2. Step 2: Convert to fraction form
    5,720/7,893.76 = 3,236.16/x
  3. Step 3: Cross multiply
    5,720x = 7,893.76 × 3,236.16
  4. Step 4: Simplify right side
    5,720x = 25,545,470.36
  5. Step 5: Solve for x
    x = 25,545,470.36/5,720
  6. Step 6: Final answer
    x = 4,465.99

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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.