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Finding the Fourth Proportional to 7,043.94, 9,720 and 4,059.18

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Solution

The fourth proportional to 7,043.94, 9,720 and 4,059.18 is: 5,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.94 : 9,720 = 4,059.18 : x
  2. Step 2: Convert to fraction form
    7,043.94/9,720 = 4,059.18/x
  3. Step 3: Cross multiply
    7,043.94x = 9,720 × 4,059.18
  4. Step 4: Simplify right side
    7,043.94x = 39,455,229.60
  5. Step 5: Solve for x
    x = 39,455,229.60/7,043.94
  6. Step 6: Final answer
    x = 5,601.30

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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.