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Finding the Fourth Proportional to 7,406, 10,220.32 and 4,262.48

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Solution

The fourth proportional to 7,406, 10,220.32 and 4,262.48 is: 5,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406 : 10,220.32 = 4,262.48 : x
  2. Step 2: Convert to fraction form
    7,406/10,220.32 = 4,262.48/x
  3. Step 3: Cross multiply
    7,406x = 10,220.32 × 4,262.48
  4. Step 4: Simplify right side
    7,406x = 43,563,909.59
  5. Step 5: Solve for x
    x = 43,563,909.59/7,406
  6. Step 6: Final answer
    x = 5,882.25

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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.