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Finding the Fourth Proportional to 7,800.64, 10,768.80 and 6,028.24

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Solution

The fourth proportional to 7,800.64, 10,768.80 and 6,028.24 is: 8,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.64 : 10,768.80 = 6,028.24 : x
  2. Step 2: Convert to fraction form
    7,800.64/10,768.80 = 6,028.24/x
  3. Step 3: Cross multiply
    7,800.64x = 10,768.80 × 6,028.24
  4. Step 4: Simplify right side
    7,800.64x = 64,916,910.91
  5. Step 5: Solve for x
    x = 64,916,910.91/7,800.64
  6. Step 6: Final answer
    x = 8,322.00

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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.