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Finding the Fourth Proportional to 6,980.46, 10,470.72 and 3,084.90

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Solution

The fourth proportional to 6,980.46, 10,470.72 and 3,084.90 is: 4,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.46 : 10,470.72 = 3,084.90 : x
  2. Step 2: Convert to fraction form
    6,980.46/10,470.72 = 3,084.90/x
  3. Step 3: Cross multiply
    6,980.46x = 10,470.72 × 3,084.90
  4. Step 4: Simplify right side
    6,980.46x = 32,301,124.13
  5. Step 5: Solve for x
    x = 32,301,124.13/6,980.46
  6. Step 6: Final answer
    x = 4,627.36

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1.5x scale

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.