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Finding the Fourth Proportional to 30,715.71, 42,400.76 and 20,649.99

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Solution

The fourth proportional to 30,715.71, 42,400.76 and 20,649.99 is: 28,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.71 : 42,400.76 = 20,649.99 : x
  2. Step 2: Convert to fraction form
    30,715.71/42,400.76 = 20,649.99/x
  3. Step 3: Cross multiply
    30,715.71x = 42,400.76 × 20,649.99
  4. Step 4: Simplify right side
    30,715.71x = 875,575,166.74
  5. Step 5: Solve for x
    x = 875,575,166.74/30,715.71
  6. Step 6: Final answer
    x = 28,505.78

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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.