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Finding the Fourth Proportional to 15,575, 21,493.52 and 9,986

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Solution

The fourth proportional to 15,575, 21,493.52 and 9,986 is: 13,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,575 : 21,493.52 = 9,986 : x
  2. Step 2: Convert to fraction form
    15,575/21,493.52 = 9,986/x
  3. Step 3: Cross multiply
    15,575x = 21,493.52 × 9,986
  4. Step 4: Simplify right side
    15,575x = 214,634,290.72
  5. Step 5: Solve for x
    x = 214,634,290.72/15,575
  6. Step 6: Final answer
    x = 13,780.69

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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.