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Finding the Fourth Proportional to 10,782.80, 16,169.40 and 4,941.20

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Solution

The fourth proportional to 10,782.80, 16,169.40 and 4,941.20 is: 7,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.80 : 16,169.40 = 4,941.20 : x
  2. Step 2: Convert to fraction form
    10,782.80/16,169.40 = 4,941.20/x
  3. Step 3: Cross multiply
    10,782.80x = 16,169.40 × 4,941.20
  4. Step 4: Simplify right side
    10,782.80x = 79,896,239.28
  5. Step 5: Solve for x
    x = 79,896,239.28/10,782.80
  6. Step 6: Final answer
    x = 7,409.60

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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.