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Finding the Fourth Proportional to 9,570.56, 13,205.58 and 5,378

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Solution

The fourth proportional to 9,570.56, 13,205.58 and 5,378 is: 7,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.56 : 13,205.58 = 5,378 : x
  2. Step 2: Convert to fraction form
    9,570.56/13,205.58 = 5,378/x
  3. Step 3: Cross multiply
    9,570.56x = 13,205.58 × 5,378
  4. Step 4: Simplify right side
    9,570.56x = 71,019,609.24
  5. Step 5: Solve for x
    x = 71,019,609.24/9,570.56
  6. Step 6: Final answer
    x = 7,420.63

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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.