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Finding the Fourth Proportional to 7,800.42, 11,707.42 and 4,293.66

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Solution

The fourth proportional to 7,800.42, 11,707.42 and 4,293.66 is: 6,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.42 : 11,707.42 = 4,293.66 : x
  2. Step 2: Convert to fraction form
    7,800.42/11,707.42 = 4,293.66/x
  3. Step 3: Cross multiply
    7,800.42x = 11,707.42 × 4,293.66
  4. Step 4: Simplify right side
    7,800.42x = 50,267,680.96
  5. Step 5: Solve for x
    x = 50,267,680.96/7,800.42
  6. Step 6: Final answer
    x = 6,444.23

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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.