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Finding the Fourth Proportional to 39,807.72, 54,955.80 and 30,835.08

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Solution

The fourth proportional to 39,807.72, 54,955.80 and 30,835.08 is: 42,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,807.72 : 54,955.80 = 30,835.08 : x
  2. Step 2: Convert to fraction form
    39,807.72/54,955.80 = 30,835.08/x
  3. Step 3: Cross multiply
    39,807.72x = 54,955.80 × 30,835.08
  4. Step 4: Simplify right side
    39,807.72x = 1,694,566,489.46
  5. Step 5: Solve for x
    x = 1,694,566,489.46/39,807.72
  6. Step 6: Final answer
    x = 42,568.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.