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Finding the Fourth Proportional to 7,319, 10,100.28 and 4,007

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Solution

The fourth proportional to 7,319, 10,100.28 and 4,007 is: 5,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319 : 10,100.28 = 4,007 : x
  2. Step 2: Convert to fraction form
    7,319/10,100.28 = 4,007/x
  3. Step 3: Cross multiply
    7,319x = 10,100.28 × 4,007
  4. Step 4: Simplify right side
    7,319x = 40,471,821.96
  5. Step 5: Solve for x
    x = 40,471,821.96/7,319
  6. Step 6: Final answer
    x = 5,529.69

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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.