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Finding the Fourth Proportional to 7,428.91, 10,253.42 and 4,284.67

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Solution

The fourth proportional to 7,428.91, 10,253.42 and 4,284.67 is: 5,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.91 : 10,253.42 = 4,284.67 : x
  2. Step 2: Convert to fraction form
    7,428.91/10,253.42 = 4,284.67/x
  3. Step 3: Cross multiply
    7,428.91x = 10,253.42 × 4,284.67
  4. Step 4: Simplify right side
    7,428.91x = 43,932,521.07
  5. Step 5: Solve for x
    x = 43,932,521.07/7,428.91
  6. Step 6: Final answer
    x = 5,913.72

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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.