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Finding the Fourth Proportional to 7,109.94, 9,810.72 and 4,125.90

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Solution

The fourth proportional to 7,109.94, 9,810.72 and 4,125.90 is: 5,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.94 : 9,810.72 = 4,125.90 : x
  2. Step 2: Convert to fraction form
    7,109.94/9,810.72 = 4,125.90/x
  3. Step 3: Cross multiply
    7,109.94x = 9,810.72 × 4,125.90
  4. Step 4: Simplify right side
    7,109.94x = 40,478,049.65
  5. Step 5: Solve for x
    x = 40,478,049.65/7,109.94
  6. Step 6: Final answer
    x = 5,693.16

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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.