Home / 5,105.34-7,657.12-1,406.68

Finding the Fourth Proportional to 5,105.34, 7,657.12 and 1,406.68

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Solution

The fourth proportional to 5,105.34, 7,657.12 and 1,406.68 is: 2,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.34 : 7,657.12 = 1,406.68 : x
  2. Step 2: Convert to fraction form
    5,105.34/7,657.12 = 1,406.68/x
  3. Step 3: Cross multiply
    5,105.34x = 7,657.12 × 1,406.68
  4. Step 4: Simplify right side
    5,105.34x = 10,771,117.56
  5. Step 5: Solve for x
    x = 10,771,117.56/5,105.34
  6. Step 6: Final answer
    x = 2,109.77

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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.