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Finding the Fourth Proportional to 39,718.50, 54,811.50 and 21,814.68

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Solution

The fourth proportional to 39,718.50, 54,811.50 and 21,814.68 is: 30,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,718.50 : 54,811.50 = 21,814.68 : x
  2. Step 2: Convert to fraction form
    39,718.50/54,811.50 = 21,814.68/x
  3. Step 3: Cross multiply
    39,718.50x = 54,811.50 × 21,814.68
  4. Step 4: Simplify right side
    39,718.50x = 1,195,695,332.82
  5. Step 5: Solve for x
    x = 1,195,695,332.82/39,718.50
  6. Step 6: Final answer
    x = 30,104.24

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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.