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Finding the Fourth Proportional to 38,646.48, 57,944.76 and 12,342.48

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Solution

The fourth proportional to 38,646.48, 57,944.76 and 12,342.48 is: 18,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646.48 : 57,944.76 = 12,342.48 : x
  2. Step 2: Convert to fraction form
    38,646.48/57,944.76 = 12,342.48/x
  3. Step 3: Cross multiply
    38,646.48x = 57,944.76 × 12,342.48
  4. Step 4: Simplify right side
    38,646.48x = 715,182,041.40
  5. Step 5: Solve for x
    x = 715,182,041.40/38,646.48
  6. Step 6: Final answer
    x = 18,505.75

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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.