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Finding the Fourth Proportional to 9,472.98, 13,078.35 and 6,290.76

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Solution

The fourth proportional to 9,472.98, 13,078.35 and 6,290.76 is: 8,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.98 : 13,078.35 = 6,290.76 : x
  2. Step 2: Convert to fraction form
    9,472.98/13,078.35 = 6,290.76/x
  3. Step 3: Cross multiply
    9,472.98x = 13,078.35 × 6,290.76
  4. Step 4: Simplify right side
    9,472.98x = 82,272,761.05
  5. Step 5: Solve for x
    x = 82,272,761.05/9,472.98
  6. Step 6: Final answer
    x = 8,684.99

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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.