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Finding the Fourth Proportional to 7,690.76, 11,545.28 and 6,473.32

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Solution

The fourth proportional to 7,690.76, 11,545.28 and 6,473.32 is: 9,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.76 : 11,545.28 = 6,473.32 : x
  2. Step 2: Convert to fraction form
    7,690.76/11,545.28 = 6,473.32/x
  3. Step 3: Cross multiply
    7,690.76x = 11,545.28 × 6,473.32
  4. Step 4: Simplify right side
    7,690.76x = 74,736,291.93
  5. Step 5: Solve for x
    x = 74,736,291.93/7,690.76
  6. Step 6: Final answer
    x = 9,717.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.