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Finding the Fourth Proportional to 18,303.29, 27,458.96 and 7,782.31

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Solution

The fourth proportional to 18,303.29, 27,458.96 and 7,782.31 is: 11,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,303.29 : 27,458.96 = 7,782.31 : x
  2. Step 2: Convert to fraction form
    18,303.29/27,458.96 = 7,782.31/x
  3. Step 3: Cross multiply
    18,303.29x = 27,458.96 × 7,782.31
  4. Step 4: Simplify right side
    18,303.29x = 213,694,139.00
  5. Step 5: Solve for x
    x = 213,694,139.00/18,303.29
  6. Step 6: Final answer
    x = 11,675.18

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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.