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Finding the Fourth Proportional to 6,386.20, 9,532.50 and 5,917.13

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Solution

The fourth proportional to 6,386.20, 9,532.50 and 5,917.13 is: 8,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.20 : 9,532.50 = 5,917.13 : x
  2. Step 2: Convert to fraction form
    6,386.20/9,532.50 = 5,917.13/x
  3. Step 3: Cross multiply
    6,386.20x = 9,532.50 × 5,917.13
  4. Step 4: Simplify right side
    6,386.20x = 56,405,041.73
  5. Step 5: Solve for x
    x = 56,405,041.73/6,386.20
  6. Step 6: Final answer
    x = 8,832.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.