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Finding the Fourth Proportional to 8,254, 11,385.48 and 5,421.70

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Solution

The fourth proportional to 8,254, 11,385.48 and 5,421.70 is: 7,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254 : 11,385.48 = 5,421.70 : x
  2. Step 2: Convert to fraction form
    8,254/11,385.48 = 5,421.70/x
  3. Step 3: Cross multiply
    8,254x = 11,385.48 × 5,421.70
  4. Step 4: Simplify right side
    8,254x = 61,728,656.92
  5. Step 5: Solve for x
    x = 61,728,656.92/8,254
  6. Step 6: Final answer
    x = 7,478.64

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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.