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Finding the Fourth Proportional to 15,835.85, 21,853.49 and 8,762.25

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Solution

The fourth proportional to 15,835.85, 21,853.49 and 8,762.25 is: 12,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835.85 : 21,853.49 = 8,762.25 : x
  2. Step 2: Convert to fraction form
    15,835.85/21,853.49 = 8,762.25/x
  3. Step 3: Cross multiply
    15,835.85x = 21,853.49 × 8,762.25
  4. Step 4: Simplify right side
    15,835.85x = 191,485,698.94
  5. Step 5: Solve for x
    x = 191,485,698.94/15,835.85
  6. Step 6: Final answer
    x = 12,091.92

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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.