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Finding the Fourth Proportional to 7,812.54, 11,709.81 and 4,342.86

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Solution

The fourth proportional to 7,812.54, 11,709.81 and 4,342.86 is: 6,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.54 : 11,709.81 = 4,342.86 : x
  2. Step 2: Convert to fraction form
    7,812.54/11,709.81 = 4,342.86/x
  3. Step 3: Cross multiply
    7,812.54x = 11,709.81 × 4,342.86
  4. Step 4: Simplify right side
    7,812.54x = 50,854,065.46
  5. Step 5: Solve for x
    x = 50,854,065.46/7,812.54
  6. Step 6: Final answer
    x = 6,509.29

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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.