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Finding the Fourth Proportional to 13,430, 18,535.56 and 7,841

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Solution

The fourth proportional to 13,430, 18,535.56 and 7,841 is: 10,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430 : 18,535.56 = 7,841 : x
  2. Step 2: Convert to fraction form
    13,430/18,535.56 = 7,841/x
  3. Step 3: Cross multiply
    13,430x = 18,535.56 × 7,841
  4. Step 4: Simplify right side
    13,430x = 145,337,325.96
  5. Step 5: Solve for x
    x = 145,337,325.96/13,430
  6. Step 6: Final answer
    x = 10,821.84

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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.