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Finding the Fourth Proportional to 38,507.58, 57,680.88 and 30,970.41

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Solution

The fourth proportional to 38,507.58, 57,680.88 and 30,970.41 is: 46,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.58 : 57,680.88 = 30,970.41 : x
  2. Step 2: Convert to fraction form
    38,507.58/57,680.88 = 30,970.41/x
  3. Step 3: Cross multiply
    38,507.58x = 57,680.88 × 30,970.41
  4. Step 4: Simplify right side
    38,507.58x = 1,786,400,502.76
  5. Step 5: Solve for x
    x = 1,786,400,502.76/38,507.58
  6. Step 6: Final answer
    x = 46,390.88

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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.