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Finding the Fourth Proportional to 30,970.93, 42,752.96 and 20,912.99

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Solution

The fourth proportional to 30,970.93, 42,752.96 and 20,912.99 is: 28,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.93 : 42,752.96 = 20,912.99 : x
  2. Step 2: Convert to fraction form
    30,970.93/42,752.96 = 20,912.99/x
  3. Step 3: Cross multiply
    30,970.93x = 42,752.96 × 20,912.99
  4. Step 4: Simplify right side
    30,970.93x = 894,092,145.37
  5. Step 5: Solve for x
    x = 894,092,145.37/30,970.93
  6. Step 6: Final answer
    x = 28,868.76

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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.