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Finding the Fourth Proportional to 7,564.98, 10,441.38 and 4,209

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Solution

The fourth proportional to 7,564.98, 10,441.38 and 4,209 is: 5,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.98 : 10,441.38 = 4,209 : x
  2. Step 2: Convert to fraction form
    7,564.98/10,441.38 = 4,209/x
  3. Step 3: Cross multiply
    7,564.98x = 10,441.38 × 4,209
  4. Step 4: Simplify right side
    7,564.98x = 43,947,768.42
  5. Step 5: Solve for x
    x = 43,947,768.42/7,564.98
  6. Step 6: Final answer
    x = 5,809.37

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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.