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Finding the Fourth Proportional to 10,484, 15,732.27 and 3,914.80

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Solution

The fourth proportional to 10,484, 15,732.27 and 3,914.80 is: 5,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484 : 15,732.27 = 3,914.80 : x
  2. Step 2: Convert to fraction form
    10,484/15,732.27 = 3,914.80/x
  3. Step 3: Cross multiply
    10,484x = 15,732.27 × 3,914.80
  4. Step 4: Simplify right side
    10,484x = 61,588,690.60
  5. Step 5: Solve for x
    x = 61,588,690.60/10,484
  6. Step 6: Final answer
    x = 5,874.54

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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.