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Finding the Fourth Proportional to 9,397.19, 12,967.94 and 5,418.47

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Solution

The fourth proportional to 9,397.19, 12,967.94 and 5,418.47 is: 7,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.19 : 12,967.94 = 5,418.47 : x
  2. Step 2: Convert to fraction form
    9,397.19/12,967.94 = 5,418.47/x
  3. Step 3: Cross multiply
    9,397.19x = 12,967.94 × 5,418.47
  4. Step 4: Simplify right side
    9,397.19x = 70,266,342.56
  5. Step 5: Solve for x
    x = 70,266,342.56/9,397.19
  6. Step 6: Final answer
    x = 7,477.38

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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.