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Finding the Fourth Proportional to 43,648.40, 65,464.68 and 12,476

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Solution

The fourth proportional to 43,648.40, 65,464.68 and 12,476 is: 18,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,648.40 : 65,464.68 = 12,476 : x
  2. Step 2: Convert to fraction form
    43,648.40/65,464.68 = 12,476/x
  3. Step 3: Cross multiply
    43,648.40x = 65,464.68 × 12,476
  4. Step 4: Simplify right side
    43,648.40x = 816,737,347.68
  5. Step 5: Solve for x
    x = 816,737,347.68/43,648.40
  6. Step 6: Final answer
    x = 18,711.74

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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.