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Finding the Fourth Proportional to 5,127, 7,686.40 and 2,662.20

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Solution

The fourth proportional to 5,127, 7,686.40 and 2,662.20 is: 3,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127 : 7,686.40 = 2,662.20 : x
  2. Step 2: Convert to fraction form
    5,127/7,686.40 = 2,662.20/x
  3. Step 3: Cross multiply
    5,127x = 7,686.40 × 2,662.20
  4. Step 4: Simplify right side
    5,127x = 20,462,734.08
  5. Step 5: Solve for x
    x = 20,462,734.08/5,127
  6. Step 6: Final answer
    x = 3,991.17

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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.