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Finding the Fourth Proportional to 6,719.65, 9,273.12 and 3,735.40

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Solution

The fourth proportional to 6,719.65, 9,273.12 and 3,735.40 is: 5,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.65 : 9,273.12 = 3,735.40 : x
  2. Step 2: Convert to fraction form
    6,719.65/9,273.12 = 3,735.40/x
  3. Step 3: Cross multiply
    6,719.65x = 9,273.12 × 3,735.40
  4. Step 4: Simplify right side
    6,719.65x = 34,638,812.45
  5. Step 5: Solve for x
    x = 34,638,812.45/6,719.65
  6. Step 6: Final answer
    x = 5,154.85

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1.5x scale

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.