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Finding the Fourth Proportional to 7,825.64, 10,800.42 and 5,039.24

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Solution

The fourth proportional to 7,825.64, 10,800.42 and 5,039.24 is: 6,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.64 : 10,800.42 = 5,039.24 : x
  2. Step 2: Convert to fraction form
    7,825.64/10,800.42 = 5,039.24/x
  3. Step 3: Cross multiply
    7,825.64x = 10,800.42 × 5,039.24
  4. Step 4: Simplify right side
    7,825.64x = 54,425,908.48
  5. Step 5: Solve for x
    x = 54,425,908.48/7,825.64
  6. Step 6: Final answer
    x = 6,954.82

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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.