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Finding the Fourth Proportional to 7,139.80, 10,709.70 and 6,435.10

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Solution

The fourth proportional to 7,139.80, 10,709.70 and 6,435.10 is: 9,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.80 : 10,709.70 = 6,435.10 : x
  2. Step 2: Convert to fraction form
    7,139.80/10,709.70 = 6,435.10/x
  3. Step 3: Cross multiply
    7,139.80x = 10,709.70 × 6,435.10
  4. Step 4: Simplify right side
    7,139.80x = 68,917,990.47
  5. Step 5: Solve for x
    x = 68,917,990.47/7,139.80
  6. Step 6: Final answer
    x = 9,652.65

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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.