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Finding the Fourth Proportional to 15,771.92, 21,762.95 and 9,801.41

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Solution

The fourth proportional to 15,771.92, 21,762.95 and 9,801.41 is: 13,524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.92 : 21,762.95 = 9,801.41 : x
  2. Step 2: Convert to fraction form
    15,771.92/21,762.95 = 9,801.41/x
  3. Step 3: Cross multiply
    15,771.92x = 21,762.95 × 9,801.41
  4. Step 4: Simplify right side
    15,771.92x = 213,307,437.94
  5. Step 5: Solve for x
    x = 213,307,437.94/15,771.92
  6. Step 6: Final answer
    x = 13,524.51

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1.5x scale

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.