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Finding the Fourth Proportional to 13,000.43, 17,940.54 and 7,032.11

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Solution

The fourth proportional to 13,000.43, 17,940.54 and 7,032.11 is: 9,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.43 : 17,940.54 = 7,032.11 : x
  2. Step 2: Convert to fraction form
    13,000.43/17,940.54 = 7,032.11/x
  3. Step 3: Cross multiply
    13,000.43x = 17,940.54 × 7,032.11
  4. Step 4: Simplify right side
    13,000.43x = 126,159,815.58
  5. Step 5: Solve for x
    x = 126,159,815.58/13,000.43
  6. Step 6: Final answer
    x = 9,704.28

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1.5x scale

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.