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Finding the Fourth Proportional to 38,431.40, 57,647.10 and 30,655.40

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Solution

The fourth proportional to 38,431.40, 57,647.10 and 30,655.40 is: 45,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,431.40 : 57,647.10 = 30,655.40 : x
  2. Step 2: Convert to fraction form
    38,431.40/57,647.10 = 30,655.40/x
  3. Step 3: Cross multiply
    38,431.40x = 57,647.10 × 30,655.40
  4. Step 4: Simplify right side
    38,431.40x = 1,767,194,909.34
  5. Step 5: Solve for x
    x = 1,767,194,909.34/38,431.40
  6. Step 6: Final answer
    x = 45,983.10

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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.