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Finding the Fourth Proportional to 7,130.56, 10,698 and 2,972.56

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Solution

The fourth proportional to 7,130.56, 10,698 and 2,972.56 is: 4,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.56 : 10,698 = 2,972.56 : x
  2. Step 2: Convert to fraction form
    7,130.56/10,698 = 2,972.56/x
  3. Step 3: Cross multiply
    7,130.56x = 10,698 × 2,972.56
  4. Step 4: Simplify right side
    7,130.56x = 31,800,446.88
  5. Step 5: Solve for x
    x = 31,800,446.88/7,130.56
  6. Step 6: Final answer
    x = 4,459.74

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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.