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Finding the Fourth Proportional to 5,160.80, 7,121.80 and 2,803

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Solution

The fourth proportional to 5,160.80, 7,121.80 and 2,803 is: 3,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.80 : 7,121.80 = 2,803 : x
  2. Step 2: Convert to fraction form
    5,160.80/7,121.80 = 2,803/x
  3. Step 3: Cross multiply
    5,160.80x = 7,121.80 × 2,803
  4. Step 4: Simplify right side
    5,160.80x = 19,962,405.40
  5. Step 5: Solve for x
    x = 19,962,405.40/5,160.80
  6. Step 6: Final answer
    x = 3,868.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.