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Finding the Fourth Proportional to 8,378, 11,564.05 and 6,711.02

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Solution

The fourth proportional to 8,378, 11,564.05 and 6,711.02 is: 9,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378 : 11,564.05 = 6,711.02 : x
  2. Step 2: Convert to fraction form
    8,378/11,564.05 = 6,711.02/x
  3. Step 3: Cross multiply
    8,378x = 11,564.05 × 6,711.02
  4. Step 4: Simplify right side
    8,378x = 77,606,570.83
  5. Step 5: Solve for x
    x = 77,606,570.83/8,378
  6. Step 6: Final answer
    x = 9,263.14

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Why These Related Problems?

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