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Finding the Fourth Proportional to 6,437.02, 9,656.58 and 1,993.65

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Solution

The fourth proportional to 6,437.02, 9,656.58 and 1,993.65 is: 2,990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.02 : 9,656.58 = 1,993.65 : x
  2. Step 2: Convert to fraction form
    6,437.02/9,656.58 = 1,993.65/x
  3. Step 3: Cross multiply
    6,437.02x = 9,656.58 × 1,993.65
  4. Step 4: Simplify right side
    6,437.02x = 19,251,795.16
  5. Step 5: Solve for x
    x = 19,251,795.16/6,437.02
  6. Step 6: Final answer
    x = 2,990.79

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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.