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Finding the Fourth Proportional to 15,571.42, 21,488.62 and 8,498

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Solution

The fourth proportional to 15,571.42, 21,488.62 and 8,498 is: 11,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,571.42 : 21,488.62 = 8,498 : x
  2. Step 2: Convert to fraction form
    15,571.42/21,488.62 = 8,498/x
  3. Step 3: Cross multiply
    15,571.42x = 21,488.62 × 8,498
  4. Step 4: Simplify right side
    15,571.42x = 182,610,292.76
  5. Step 5: Solve for x
    x = 182,610,292.76/15,571.42
  6. Step 6: Final answer
    x = 11,727.27

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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.