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Finding the Fourth Proportional to 6,575.76, 9,858.76 and 3,978.08

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Solution

The fourth proportional to 6,575.76, 9,858.76 and 3,978.08 is: 5,964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.76 : 9,858.76 = 3,978.08 : x
  2. Step 2: Convert to fraction form
    6,575.76/9,858.76 = 3,978.08/x
  3. Step 3: Cross multiply
    6,575.76x = 9,858.76 × 3,978.08
  4. Step 4: Simplify right side
    6,575.76x = 39,218,935.98
  5. Step 5: Solve for x
    x = 39,218,935.98/6,575.76
  6. Step 6: Final answer
    x = 5,964.17

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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.