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Finding the Fourth Proportional to 7,875.69, 10,866.87 and 5,986.77

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Solution

The fourth proportional to 7,875.69, 10,866.87 and 5,986.77 is: 8,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.69 : 10,866.87 = 5,986.77 : x
  2. Step 2: Convert to fraction form
    7,875.69/10,866.87 = 5,986.77/x
  3. Step 3: Cross multiply
    7,875.69x = 10,866.87 × 5,986.77
  4. Step 4: Simplify right side
    7,875.69x = 65,057,451.31
  5. Step 5: Solve for x
    x = 65,057,451.31/7,875.69
  6. Step 6: Final answer
    x = 8,260.54

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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.