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Finding the Fourth Proportional to 38,378.56, 57,461.54 and 19,618.20

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Solution

The fourth proportional to 38,378.56, 57,461.54 and 19,618.20 is: 29,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378.56 : 57,461.54 = 19,618.20 : x
  2. Step 2: Convert to fraction form
    38,378.56/57,461.54 = 19,618.20/x
  3. Step 3: Cross multiply
    38,378.56x = 57,461.54 × 19,618.20
  4. Step 4: Simplify right side
    38,378.56x = 1,127,291,984.03
  5. Step 5: Solve for x
    x = 1,127,291,984.03/38,378.56
  6. Step 6: Final answer
    x = 29,372.96

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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.