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Finding the Fourth Proportional to 7,242.56, 9,996.70 and 4,259.36

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Solution

The fourth proportional to 7,242.56, 9,996.70 and 4,259.36 is: 5,879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.56 : 9,996.70 = 4,259.36 : x
  2. Step 2: Convert to fraction form
    7,242.56/9,996.70 = 4,259.36/x
  3. Step 3: Cross multiply
    7,242.56x = 9,996.70 × 4,259.36
  4. Step 4: Simplify right side
    7,242.56x = 42,579,544.11
  5. Step 5: Solve for x
    x = 42,579,544.11/7,242.56
  6. Step 6: Final answer
    x = 5,879.07

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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.