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Finding the Fourth Proportional to 7,125.69, 10,674.69 and 3,430.51

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Solution

The fourth proportional to 7,125.69, 10,674.69 and 3,430.51 is: 5,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.69 : 10,674.69 = 3,430.51 : x
  2. Step 2: Convert to fraction form
    7,125.69/10,674.69 = 3,430.51/x
  3. Step 3: Cross multiply
    7,125.69x = 10,674.69 × 3,430.51
  4. Step 4: Simplify right side
    7,125.69x = 36,619,644.14
  5. Step 5: Solve for x
    x = 36,619,644.14/7,125.69
  6. Step 6: Final answer
    x = 5,139.10

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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.