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Finding the Fourth Proportional to 6,900.52, 10,351.12 and 1,970.52

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Solution

The fourth proportional to 6,900.52, 10,351.12 and 1,970.52 is: 2,955.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.52 : 10,351.12 = 1,970.52 : x
  2. Step 2: Convert to fraction form
    6,900.52/10,351.12 = 1,970.52/x
  3. Step 3: Cross multiply
    6,900.52x = 10,351.12 × 1,970.52
  4. Step 4: Simplify right side
    6,900.52x = 20,397,088.98
  5. Step 5: Solve for x
    x = 20,397,088.98/6,900.52
  6. Step 6: Final answer
    x = 2,955.88

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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.