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Finding the Fourth Proportional to 7,326, 10,123.68 and 5,554.32

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Solution

The fourth proportional to 7,326, 10,123.68 and 5,554.32 is: 7,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,326 : 10,123.68 = 5,554.32 : x
  2. Step 2: Convert to fraction form
    7,326/10,123.68 = 5,554.32/x
  3. Step 3: Cross multiply
    7,326x = 10,123.68 × 5,554.32
  4. Step 4: Simplify right side
    7,326x = 56,230,158.30
  5. Step 5: Solve for x
    x = 56,230,158.30/7,326
  6. Step 6: Final answer
    x = 7,675.42

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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.