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Finding the Fourth Proportional to 7,858.47, 10,855.72 and 7,149.06

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Solution

The fourth proportional to 7,858.47, 10,855.72 and 7,149.06 is: 9,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.47 : 10,855.72 = 7,149.06 : x
  2. Step 2: Convert to fraction form
    7,858.47/10,855.72 = 7,149.06/x
  3. Step 3: Cross multiply
    7,858.47x = 10,855.72 × 7,149.06
  4. Step 4: Simplify right side
    7,858.47x = 77,608,202.56
  5. Step 5: Solve for x
    x = 77,608,202.56/7,858.47
  6. Step 6: Final answer
    x = 9,875.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.