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Finding the Fourth Proportional to 23,518, 32,455.80 and 13,582

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Solution

The fourth proportional to 23,518, 32,455.80 and 13,582 is: 18,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,518 : 32,455.80 = 13,582 : x
  2. Step 2: Convert to fraction form
    23,518/32,455.80 = 13,582/x
  3. Step 3: Cross multiply
    23,518x = 32,455.80 × 13,582
  4. Step 4: Simplify right side
    23,518x = 440,814,675.60
  5. Step 5: Solve for x
    x = 440,814,675.60/23,518
  6. Step 6: Final answer
    x = 18,743.71

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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.