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Finding the Fourth Proportional to 6,506, 8,978.28 and 3,711.56

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Solution

The fourth proportional to 6,506, 8,978.28 and 3,711.56 is: 5,121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506 : 8,978.28 = 3,711.56 : x
  2. Step 2: Convert to fraction form
    6,506/8,978.28 = 3,711.56/x
  3. Step 3: Cross multiply
    6,506x = 8,978.28 × 3,711.56
  4. Step 4: Simplify right side
    6,506x = 33,323,424.92
  5. Step 5: Solve for x
    x = 33,323,424.92/6,506
  6. Step 6: Final answer
    x = 5,121.95

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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.