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Finding the Fourth Proportional to 6,365, 8,782.98 and 3,532.28

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Solution

The fourth proportional to 6,365, 8,782.98 and 3,532.28 is: 4,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365 : 8,782.98 = 3,532.28 : x
  2. Step 2: Convert to fraction form
    6,365/8,782.98 = 3,532.28/x
  3. Step 3: Cross multiply
    6,365x = 8,782.98 × 3,532.28
  4. Step 4: Simplify right side
    6,365x = 31,023,944.59
  5. Step 5: Solve for x
    x = 31,023,944.59/6,365
  6. Step 6: Final answer
    x = 4,874.15

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1.5x scale

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.