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Finding the Fourth Proportional to 10,670.40, 16,005.64 and 3,740

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Solution

The fourth proportional to 10,670.40, 16,005.64 and 3,740 is: 5,610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.40 : 16,005.64 = 3,740 : x
  2. Step 2: Convert to fraction form
    10,670.40/16,005.64 = 3,740/x
  3. Step 3: Cross multiply
    10,670.40x = 16,005.64 × 3,740
  4. Step 4: Simplify right side
    10,670.40x = 59,861,093.60
  5. Step 5: Solve for x
    x = 59,861,093.60/10,670.40
  6. Step 6: Final answer
    x = 5,610.01

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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.