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Finding the Fourth Proportional to 10,808.52, 14,922.64 and 8,823.80

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Solution

The fourth proportional to 10,808.52, 14,922.64 and 8,823.80 is: 12,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.52 : 14,922.64 = 8,823.80 : x
  2. Step 2: Convert to fraction form
    10,808.52/14,922.64 = 8,823.80/x
  3. Step 3: Cross multiply
    10,808.52x = 14,922.64 × 8,823.80
  4. Step 4: Simplify right side
    10,808.52x = 131,674,390.83
  5. Step 5: Solve for x
    x = 131,674,390.83/10,808.52
  6. Step 6: Final answer
    x = 12,182.46

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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.