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Finding the Fourth Proportional to 39,536.50, 59,339.84 and 18,488

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Solution

The fourth proportional to 39,536.50, 59,339.84 and 18,488 is: 27,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,536.50 : 59,339.84 = 18,488 : x
  2. Step 2: Convert to fraction form
    39,536.50/59,339.84 = 18,488/x
  3. Step 3: Cross multiply
    39,536.50x = 59,339.84 × 18,488
  4. Step 4: Simplify right side
    39,536.50x = 1,097,074,961.92
  5. Step 5: Solve for x
    x = 1,097,074,961.92/39,536.50
  6. Step 6: Final answer
    x = 27,748.41

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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.