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Finding the Fourth Proportional to 7,105.70, 9,812.06 and 4,457.68

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Solution

The fourth proportional to 7,105.70, 9,812.06 and 4,457.68 is: 6,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.70 : 9,812.06 = 4,457.68 : x
  2. Step 2: Convert to fraction form
    7,105.70/9,812.06 = 4,457.68/x
  3. Step 3: Cross multiply
    7,105.70x = 9,812.06 × 4,457.68
  4. Step 4: Simplify right side
    7,105.70x = 43,739,023.62
  5. Step 5: Solve for x
    x = 43,739,023.62/7,105.70
  6. Step 6: Final answer
    x = 6,155.48

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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.