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Finding the Fourth Proportional to 7,145.46, 10,698.24 and 6,488.01

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Solution

The fourth proportional to 7,145.46, 10,698.24 and 6,488.01 is: 9,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.46 : 10,698.24 = 6,488.01 : x
  2. Step 2: Convert to fraction form
    7,145.46/10,698.24 = 6,488.01/x
  3. Step 3: Cross multiply
    7,145.46x = 10,698.24 × 6,488.01
  4. Step 4: Simplify right side
    7,145.46x = 69,410,288.10
  5. Step 5: Solve for x
    x = 69,410,288.10/7,145.46
  6. Step 6: Final answer
    x = 9,713.90

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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.