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Finding the Fourth Proportional to 6,388.68, 9,585.48 and 2,923.50

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Solution

The fourth proportional to 6,388.68, 9,585.48 and 2,923.50 is: 4,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.68 : 9,585.48 = 2,923.50 : x
  2. Step 2: Convert to fraction form
    6,388.68/9,585.48 = 2,923.50/x
  3. Step 3: Cross multiply
    6,388.68x = 9,585.48 × 2,923.50
  4. Step 4: Simplify right side
    6,388.68x = 28,023,150.78
  5. Step 5: Solve for x
    x = 28,023,150.78/6,388.68
  6. Step 6: Final answer
    x = 4,386.38

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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.