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Finding the Fourth Proportional to 8,716.40, 13,055.40 and 7,564.40

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Solution

The fourth proportional to 8,716.40, 13,055.40 and 7,564.40 is: 11,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.40 : 13,055.40 = 7,564.40 : x
  2. Step 2: Convert to fraction form
    8,716.40/13,055.40 = 7,564.40/x
  3. Step 3: Cross multiply
    8,716.40x = 13,055.40 × 7,564.40
  4. Step 4: Simplify right side
    8,716.40x = 98,756,267.76
  5. Step 5: Solve for x
    x = 98,756,267.76/8,716.40
  6. Step 6: Final answer
    x = 11,329.94

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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.