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Finding the Fourth Proportional to 7,716.40, 11,558.40 and 6,420.40

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Solution

The fourth proportional to 7,716.40, 11,558.40 and 6,420.40 is: 9,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.40 : 11,558.40 = 6,420.40 : x
  2. Step 2: Convert to fraction form
    7,716.40/11,558.40 = 6,420.40/x
  3. Step 3: Cross multiply
    7,716.40x = 11,558.40 × 6,420.40
  4. Step 4: Simplify right side
    7,716.40x = 74,209,551.36
  5. Step 5: Solve for x
    x = 74,209,551.36/7,716.40
  6. Step 6: Final answer
    x = 9,617.12

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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.