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Finding the Fourth Proportional to 2,054.06, 3,079.43 and 647.76

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Solution

The fourth proportional to 2,054.06, 3,079.43 and 647.76 is: 971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.06 : 3,079.43 = 647.76 : x
  2. Step 2: Convert to fraction form
    2,054.06/3,079.43 = 647.76/x
  3. Step 3: Cross multiply
    2,054.06x = 3,079.43 × 647.76
  4. Step 4: Simplify right side
    2,054.06x = 1,994,731.58
  5. Step 5: Solve for x
    x = 1,994,731.58/2,054.06
  6. Step 6: Final answer
    x = 971.12

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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.