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Finding the Fourth Proportional to 9,375.98, 12,938.82 and 5,184.23

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Solution

The fourth proportional to 9,375.98, 12,938.82 and 5,184.23 is: 7,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.98 : 12,938.82 = 5,184.23 : x
  2. Step 2: Convert to fraction form
    9,375.98/12,938.82 = 5,184.23/x
  3. Step 3: Cross multiply
    9,375.98x = 12,938.82 × 5,184.23
  4. Step 4: Simplify right side
    9,375.98x = 67,077,818.81
  5. Step 5: Solve for x
    x = 67,077,818.81/9,375.98
  6. Step 6: Final answer
    x = 7,154.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.