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Finding the Fourth Proportional to 14,822.40, 20,455.20 and 8,856.80

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Solution

The fourth proportional to 14,822.40, 20,455.20 and 8,856.80 is: 12,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.40 : 20,455.20 = 8,856.80 : x
  2. Step 2: Convert to fraction form
    14,822.40/20,455.20 = 8,856.80/x
  3. Step 3: Cross multiply
    14,822.40x = 20,455.20 × 8,856.80
  4. Step 4: Simplify right side
    14,822.40x = 181,167,615.36
  5. Step 5: Solve for x
    x = 181,167,615.36/14,822.40
  6. Step 6: Final answer
    x = 12,222.56

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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.