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Finding the Fourth Proportional to 21,107.58, 31,645.64 and 7,059.30

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Solution

The fourth proportional to 21,107.58, 31,645.64 and 7,059.30 is: 10,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.58 : 31,645.64 = 7,059.30 : x
  2. Step 2: Convert to fraction form
    21,107.58/31,645.64 = 7,059.30/x
  3. Step 3: Cross multiply
    21,107.58x = 31,645.64 × 7,059.30
  4. Step 4: Simplify right side
    21,107.58x = 223,396,066.45
  5. Step 5: Solve for x
    x = 223,396,066.45/21,107.58
  6. Step 6: Final answer
    x = 10,583.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.