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Finding the Fourth Proportional to 13,045, 18,002.64 and 7,456

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Solution

The fourth proportional to 13,045, 18,002.64 and 7,456 is: 10,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045 : 18,002.64 = 7,456 : x
  2. Step 2: Convert to fraction form
    13,045/18,002.64 = 7,456/x
  3. Step 3: Cross multiply
    13,045x = 18,002.64 × 7,456
  4. Step 4: Simplify right side
    13,045x = 134,227,683.84
  5. Step 5: Solve for x
    x = 134,227,683.84/13,045
  6. Step 6: Final answer
    x = 10,289.59

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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.