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Finding the Fourth Proportional to 10,970.72, 16,446 and 4,040

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Solution

The fourth proportional to 10,970.72, 16,446 and 4,040 is: 6,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.72 : 16,446 = 4,040 : x
  2. Step 2: Convert to fraction form
    10,970.72/16,446 = 4,040/x
  3. Step 3: Cross multiply
    10,970.72x = 16,446 × 4,040
  4. Step 4: Simplify right side
    10,970.72x = 66,441,840
  5. Step 5: Solve for x
    x = 66,441,840/10,970.72
  6. Step 6: Final answer
    x = 6,056.29

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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.