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Finding the Fourth Proportional to 5,159.77, 7,742.72 and 1,873.11

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Solution

The fourth proportional to 5,159.77, 7,742.72 and 1,873.11 is: 2,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.77 : 7,742.72 = 1,873.11 : x
  2. Step 2: Convert to fraction form
    5,159.77/7,742.72 = 1,873.11/x
  3. Step 3: Cross multiply
    5,159.77x = 7,742.72 × 1,873.11
  4. Step 4: Simplify right side
    5,159.77x = 14,502,956.42
  5. Step 5: Solve for x
    x = 14,502,956.42/5,159.77
  6. Step 6: Final answer
    x = 2,810.78

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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.