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Finding the Fourth Proportional to 5,421.12, 8,128 and 2,953.92

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Solution

The fourth proportional to 5,421.12, 8,128 and 2,953.92 is: 4,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.12 : 8,128 = 2,953.92 : x
  2. Step 2: Convert to fraction form
    5,421.12/8,128 = 2,953.92/x
  3. Step 3: Cross multiply
    5,421.12x = 8,128 × 2,953.92
  4. Step 4: Simplify right side
    5,421.12x = 24,009,461.76
  5. Step 5: Solve for x
    x = 24,009,461.76/5,421.12
  6. Step 6: Final answer
    x = 4,428.87

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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.