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Finding the Fourth Proportional to 7,146.76, 10,720.32 and 1,952.68

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Solution

The fourth proportional to 7,146.76, 10,720.32 and 1,952.68 is: 2,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.76 : 10,720.32 = 1,952.68 : x
  2. Step 2: Convert to fraction form
    7,146.76/10,720.32 = 1,952.68/x
  3. Step 3: Cross multiply
    7,146.76x = 10,720.32 × 1,952.68
  4. Step 4: Simplify right side
    7,146.76x = 20,933,354.46
  5. Step 5: Solve for x
    x = 20,933,354.46/7,146.76
  6. Step 6: Final answer
    x = 2,929.07

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1.5x scale

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.