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Finding the Fourth Proportional to 7,187.83, 10,781.75 and 4,271.83

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Solution

The fourth proportional to 7,187.83, 10,781.75 and 4,271.83 is: 6,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.83 : 10,781.75 = 4,271.83 : x
  2. Step 2: Convert to fraction form
    7,187.83/10,781.75 = 4,271.83/x
  3. Step 3: Cross multiply
    7,187.83x = 10,781.75 × 4,271.83
  4. Step 4: Simplify right side
    7,187.83x = 46,057,803.10
  5. Step 5: Solve for x
    x = 46,057,803.10/7,187.83
  6. Step 6: Final answer
    x = 6,407.75

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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.