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Finding the Fourth Proportional to 20,782.65, 31,187.65 and 7,635.14

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Solution

The fourth proportional to 20,782.65, 31,187.65 and 7,635.14 is: 11,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.65 : 31,187.65 = 7,635.14 : x
  2. Step 2: Convert to fraction form
    20,782.65/31,187.65 = 7,635.14/x
  3. Step 3: Cross multiply
    20,782.65x = 31,187.65 × 7,635.14
  4. Step 4: Simplify right side
    20,782.65x = 238,122,074.02
  5. Step 5: Solve for x
    x = 238,122,074.02/20,782.65
  6. Step 6: Final answer
    x = 11,457.73

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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.