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Finding the Fourth Proportional to 7,124.14, 10,686.21 and 2,964.07

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Solution

The fourth proportional to 7,124.14, 10,686.21 and 2,964.07 is: 4,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.14 : 10,686.21 = 2,964.07 : x
  2. Step 2: Convert to fraction form
    7,124.14/10,686.21 = 2,964.07/x
  3. Step 3: Cross multiply
    7,124.14x = 10,686.21 × 2,964.07
  4. Step 4: Simplify right side
    7,124.14x = 31,674,674.47
  5. Step 5: Solve for x
    x = 31,674,674.47/7,124.14
  6. Step 6: Final answer
    x = 4,446.11

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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.