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Finding the Fourth Proportional to 5,384.64, 8,077.78 and 1,686.46

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Solution

The fourth proportional to 5,384.64, 8,077.78 and 1,686.46 is: 2,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.64 : 8,077.78 = 1,686.46 : x
  2. Step 2: Convert to fraction form
    5,384.64/8,077.78 = 1,686.46/x
  3. Step 3: Cross multiply
    5,384.64x = 8,077.78 × 1,686.46
  4. Step 4: Simplify right side
    5,384.64x = 13,622,852.86
  5. Step 5: Solve for x
    x = 13,622,852.86/5,384.64
  6. Step 6: Final answer
    x = 2,529.95

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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.