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Finding the Fourth Proportional to 6,289.65, 9,478.67 and 5,665.73

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Solution

The fourth proportional to 6,289.65, 9,478.67 and 5,665.73 is: 8,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.65 : 9,478.67 = 5,665.73 : x
  2. Step 2: Convert to fraction form
    6,289.65/9,478.67 = 5,665.73/x
  3. Step 3: Cross multiply
    6,289.65x = 9,478.67 × 5,665.73
  4. Step 4: Simplify right side
    6,289.65x = 53,703,509.26
  5. Step 5: Solve for x
    x = 53,703,509.26/6,289.65
  6. Step 6: Final answer
    x = 8,538.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.