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Finding the Fourth Proportional to 13,333, 18,399.54 and 7,445

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Solution

The fourth proportional to 13,333, 18,399.54 and 7,445 is: 10,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333 : 18,399.54 = 7,445 : x
  2. Step 2: Convert to fraction form
    13,333/18,399.54 = 7,445/x
  3. Step 3: Cross multiply
    13,333x = 18,399.54 × 7,445
  4. Step 4: Simplify right side
    13,333x = 136,984,575.30
  5. Step 5: Solve for x
    x = 136,984,575.30/13,333
  6. Step 6: Final answer
    x = 10,274.10

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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.