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Finding the Fourth Proportional to 10,586.40, 14,576 and 8,989.72

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Solution

The fourth proportional to 10,586.40, 14,576 and 8,989.72 is: 12,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.40 : 14,576 = 8,989.72 : x
  2. Step 2: Convert to fraction form
    10,586.40/14,576 = 8,989.72/x
  3. Step 3: Cross multiply
    10,586.40x = 14,576 × 8,989.72
  4. Step 4: Simplify right side
    10,586.40x = 131,034,158.72
  5. Step 5: Solve for x
    x = 131,034,158.72/10,586.40
  6. Step 6: Final answer
    x = 12,377.59

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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.