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Finding the Fourth Proportional to 7,428.38, 10,252.05 and 4,284.50

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Solution

The fourth proportional to 7,428.38, 10,252.05 and 4,284.50 is: 5,913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.38 : 10,252.05 = 4,284.50 : x
  2. Step 2: Convert to fraction form
    7,428.38/10,252.05 = 4,284.50/x
  3. Step 3: Cross multiply
    7,428.38x = 10,252.05 × 4,284.50
  4. Step 4: Simplify right side
    7,428.38x = 43,924,908.23
  5. Step 5: Solve for x
    x = 43,924,908.23/7,428.38
  6. Step 6: Final answer
    x = 5,913.12

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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.