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Finding the Fourth Proportional to 9,539, 13,163.82 and 5,347.28

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Solution

The fourth proportional to 9,539, 13,163.82 and 5,347.28 is: 7,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539 : 13,163.82 = 5,347.28 : x
  2. Step 2: Convert to fraction form
    9,539/13,163.82 = 5,347.28/x
  3. Step 3: Cross multiply
    9,539x = 13,163.82 × 5,347.28
  4. Step 4: Simplify right side
    9,539x = 70,390,631.41
  5. Step 5: Solve for x
    x = 70,390,631.41/9,539
  6. Step 6: Final answer
    x = 7,379.25

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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.