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Finding the Fourth Proportional to 6,864.50, 9,465.50 and 4,470.06

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Solution

The fourth proportional to 6,864.50, 9,465.50 and 4,470.06 is: 6,163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.50 : 9,465.50 = 4,470.06 : x
  2. Step 2: Convert to fraction form
    6,864.50/9,465.50 = 4,470.06/x
  3. Step 3: Cross multiply
    6,864.50x = 9,465.50 × 4,470.06
  4. Step 4: Simplify right side
    6,864.50x = 42,311,352.93
  5. Step 5: Solve for x
    x = 42,311,352.93/6,864.50
  6. Step 6: Final answer
    x = 6,163.79

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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.