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Finding the Fourth Proportional to 13,069.55, 18,032 and 7,403.40

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Solution

The fourth proportional to 13,069.55, 18,032 and 7,403.40 is: 10,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069.55 : 18,032 = 7,403.40 : x
  2. Step 2: Convert to fraction form
    13,069.55/18,032 = 7,403.40/x
  3. Step 3: Cross multiply
    13,069.55x = 18,032 × 7,403.40
  4. Step 4: Simplify right side
    13,069.55x = 133,498,018.64
  5. Step 5: Solve for x
    x = 133,498,018.64/13,069.55
  6. Step 6: Final answer
    x = 10,214.43

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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.