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Finding the Fourth Proportional to 5,159.16, 7,738.74 and 2,079

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Solution

The fourth proportional to 5,159.16, 7,738.74 and 2,079 is: 3,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.16 : 7,738.74 = 2,079 : x
  2. Step 2: Convert to fraction form
    5,159.16/7,738.74 = 2,079/x
  3. Step 3: Cross multiply
    5,159.16x = 7,738.74 × 2,079
  4. Step 4: Simplify right side
    5,159.16x = 16,088,840.46
  5. Step 5: Solve for x
    x = 16,088,840.46/5,159.16
  6. Step 6: Final answer
    x = 3,118.50

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1.5x scale

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.