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Finding the Fourth Proportional to 15,855.90, 21,881.86 and 8,782.31

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Solution

The fourth proportional to 15,855.90, 21,881.86 and 8,782.31 is: 12,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.90 : 21,881.86 = 8,782.31 : x
  2. Step 2: Convert to fraction form
    15,855.90/21,881.86 = 8,782.31/x
  3. Step 3: Cross multiply
    15,855.90x = 21,881.86 × 8,782.31
  4. Step 4: Simplify right side
    15,855.90x = 192,173,124.58
  5. Step 5: Solve for x
    x = 192,173,124.58/15,855.90
  6. Step 6: Final answer
    x = 12,119.98

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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.