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Finding the Fourth Proportional to 6,318, 9,465.12 and 5,840.64

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Solution

The fourth proportional to 6,318, 9,465.12 and 5,840.64 is: 8,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318 : 9,465.12 = 5,840.64 : x
  2. Step 2: Convert to fraction form
    6,318/9,465.12 = 5,840.64/x
  3. Step 3: Cross multiply
    6,318x = 9,465.12 × 5,840.64
  4. Step 4: Simplify right side
    6,318x = 55,282,358.48
  5. Step 5: Solve for x
    x = 55,282,358.48/6,318
  6. Step 6: Final answer
    x = 8,749.98

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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.