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Finding the Fourth Proportional to 7,199, 10,798.86 and 6,820.28

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Solution

The fourth proportional to 7,199, 10,798.86 and 6,820.28 is: 10,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199 : 10,798.86 = 6,820.28 : x
  2. Step 2: Convert to fraction form
    7,199/10,798.86 = 6,820.28/x
  3. Step 3: Cross multiply
    7,199x = 10,798.86 × 6,820.28
  4. Step 4: Simplify right side
    7,199x = 73,651,248.88
  5. Step 5: Solve for x
    x = 73,651,248.88/7,199
  6. Step 6: Final answer
    x = 10,230.76

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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.