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Finding the Fourth Proportional to 4,784.58, 7,178.22 and 2,009.79

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Solution

The fourth proportional to 4,784.58, 7,178.22 and 2,009.79 is: 3,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.58 : 7,178.22 = 2,009.79 : x
  2. Step 2: Convert to fraction form
    4,784.58/7,178.22 = 2,009.79/x
  3. Step 3: Cross multiply
    4,784.58x = 7,178.22 × 2,009.79
  4. Step 4: Simplify right side
    4,784.58x = 14,426,714.77
  5. Step 5: Solve for x
    x = 14,426,714.77/4,784.58
  6. Step 6: Final answer
    x = 3,015.25

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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.