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Finding the Fourth Proportional to 9,782.00, 13,489.23 and 8,370.37

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Solution

The fourth proportional to 9,782.00, 13,489.23 and 8,370.37 is: 11,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.00 : 13,489.23 = 8,370.37 : x
  2. Step 2: Convert to fraction form
    9,782.00/13,489.23 = 8,370.37/x
  3. Step 3: Cross multiply
    9,782.00x = 13,489.23 × 8,370.37
  4. Step 4: Simplify right side
    9,782.00x = 112,909,894.37
  5. Step 5: Solve for x
    x = 112,909,894.37/9,782.00
  6. Step 6: Final answer
    x = 11,542.62

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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.