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Finding the Fourth Proportional to 8,912.61, 13,365.84 and 4,230

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Solution

The fourth proportional to 8,912.61, 13,365.84 and 4,230 is: 6,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912.61 : 13,365.84 = 4,230 : x
  2. Step 2: Convert to fraction form
    8,912.61/13,365.84 = 4,230/x
  3. Step 3: Cross multiply
    8,912.61x = 13,365.84 × 4,230
  4. Step 4: Simplify right side
    8,912.61x = 56,537,503.20
  5. Step 5: Solve for x
    x = 56,537,503.20/8,912.61
  6. Step 6: Final answer
    x = 6,343.54

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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.