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Finding the Fourth Proportional to 6,870.24, 9,468 and 6,311.52

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Solution

The fourth proportional to 6,870.24, 9,468 and 6,311.52 is: 8,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.24 : 9,468 = 6,311.52 : x
  2. Step 2: Convert to fraction form
    6,870.24/9,468 = 6,311.52/x
  3. Step 3: Cross multiply
    6,870.24x = 9,468 × 6,311.52
  4. Step 4: Simplify right side
    6,870.24x = 59,757,471.36
  5. Step 5: Solve for x
    x = 59,757,471.36/6,870.24
  6. Step 6: Final answer
    x = 8,698.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.