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Finding the Fourth Proportional to 7,442, 10,270 and 4,130

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Solution

The fourth proportional to 7,442, 10,270 and 4,130 is: 5,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442 : 10,270 = 4,130 : x
  2. Step 2: Convert to fraction form
    7,442/10,270 = 4,130/x
  3. Step 3: Cross multiply
    7,442x = 10,270 × 4,130
  4. Step 4: Simplify right side
    7,442x = 42,415,100
  5. Step 5: Solve for x
    x = 42,415,100/7,442
  6. Step 6: Final answer
    x = 5,699.42

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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.