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Finding the Fourth Proportional to 15,811.51, 21,829.97 and 9,851.93

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Solution

The fourth proportional to 15,811.51, 21,829.97 and 9,851.93 is: 13,601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.51 : 21,829.97 = 9,851.93 : x
  2. Step 2: Convert to fraction form
    15,811.51/21,829.97 = 9,851.93/x
  3. Step 3: Cross multiply
    15,811.51x = 21,829.97 × 9,851.93
  4. Step 4: Simplify right side
    15,811.51x = 215,067,336.34
  5. Step 5: Solve for x
    x = 215,067,336.34/15,811.51
  6. Step 6: Final answer
    x = 13,601.95

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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.