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Finding the Fourth Proportional to 7,210.70, 10,828.20 and 4,756.40

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Solution

The fourth proportional to 7,210.70, 10,828.20 and 4,756.40 is: 7,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.70 : 10,828.20 = 4,756.40 : x
  2. Step 2: Convert to fraction form
    7,210.70/10,828.20 = 4,756.40/x
  3. Step 3: Cross multiply
    7,210.70x = 10,828.20 × 4,756.40
  4. Step 4: Simplify right side
    7,210.70x = 51,503,250.48
  5. Step 5: Solve for x
    x = 51,503,250.48/7,210.70
  6. Step 6: Final answer
    x = 7,142.61

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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.