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Finding the Fourth Proportional to 13,433, 18,537.54 and 7,545

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Solution

The fourth proportional to 13,433, 18,537.54 and 7,545 is: 10,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433 : 18,537.54 = 7,545 : x
  2. Step 2: Convert to fraction form
    13,433/18,537.54 = 7,545/x
  3. Step 3: Cross multiply
    13,433x = 18,537.54 × 7,545
  4. Step 4: Simplify right side
    13,433x = 139,865,739.30
  5. Step 5: Solve for x
    x = 139,865,739.30/13,433
  6. Step 6: Final answer
    x = 10,412.10

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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.