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Finding the Fourth Proportional to 38,434, 57,659.52 and 11,783.68

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Solution

The fourth proportional to 38,434, 57,659.52 and 11,783.68 is: 17,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434 : 57,659.52 = 11,783.68 : x
  2. Step 2: Convert to fraction form
    38,434/57,659.52 = 11,783.68/x
  3. Step 3: Cross multiply
    38,434x = 57,659.52 × 11,783.68
  4. Step 4: Simplify right side
    38,434x = 679,441,332.63
  5. Step 5: Solve for x
    x = 679,441,332.63/38,434
  6. Step 6: Final answer
    x = 17,678.13

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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.