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Finding the Fourth Proportional to 30,461.64, 45,676.80 and 11,225.76

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Solution

The fourth proportional to 30,461.64, 45,676.80 and 11,225.76 is: 16,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.64 : 45,676.80 = 11,225.76 : x
  2. Step 2: Convert to fraction form
    30,461.64/45,676.80 = 11,225.76/x
  3. Step 3: Cross multiply
    30,461.64x = 45,676.80 × 11,225.76
  4. Step 4: Simplify right side
    30,461.64x = 512,756,794.37
  5. Step 5: Solve for x
    x = 512,756,794.37/30,461.64
  6. Step 6: Final answer
    x = 16,832.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.