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Finding the Fourth Proportional to 7,140.78, 10,687.86 and 6,458.76

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Solution

The fourth proportional to 7,140.78, 10,687.86 and 6,458.76 is: 9,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.78 : 10,687.86 = 6,458.76 : x
  2. Step 2: Convert to fraction form
    7,140.78/10,687.86 = 6,458.76/x
  3. Step 3: Cross multiply
    7,140.78x = 10,687.86 × 6,458.76
  4. Step 4: Simplify right side
    7,140.78x = 69,030,322.65
  5. Step 5: Solve for x
    x = 69,030,322.65/7,140.78
  6. Step 6: Final answer
    x = 9,667.06

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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.