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Finding the Fourth Proportional to 6,389.86, 9,564.98 and 3,460.90

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Solution

The fourth proportional to 6,389.86, 9,564.98 and 3,460.90 is: 5,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.86 : 9,564.98 = 3,460.90 : x
  2. Step 2: Convert to fraction form
    6,389.86/9,564.98 = 3,460.90/x
  3. Step 3: Cross multiply
    6,389.86x = 9,564.98 × 3,460.90
  4. Step 4: Simplify right side
    6,389.86x = 33,103,439.28
  5. Step 5: Solve for x
    x = 33,103,439.28/6,389.86
  6. Step 6: Final answer
    x = 5,180.62

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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.