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Finding the Fourth Proportional to 15,840.77, 21,862.71 and 9,034.80

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Solution

The fourth proportional to 15,840.77, 21,862.71 and 9,034.80 is: 12,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.77 : 21,862.71 = 9,034.80 : x
  2. Step 2: Convert to fraction form
    15,840.77/21,862.71 = 9,034.80/x
  3. Step 3: Cross multiply
    15,840.77x = 21,862.71 × 9,034.80
  4. Step 4: Simplify right side
    15,840.77x = 197,525,212.31
  5. Step 5: Solve for x
    x = 197,525,212.31/15,840.77
  6. Step 6: Final answer
    x = 12,469.42

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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.