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Finding the Fourth Proportional to 7,871.32, 10,866.92 and 5,222.36

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Solution

The fourth proportional to 7,871.32, 10,866.92 and 5,222.36 is: 7,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.32 : 10,866.92 = 5,222.36 : x
  2. Step 2: Convert to fraction form
    7,871.32/10,866.92 = 5,222.36/x
  3. Step 3: Cross multiply
    7,871.32x = 10,866.92 × 5,222.36
  4. Step 4: Simplify right side
    7,871.32x = 56,750,968.33
  5. Step 5: Solve for x
    x = 56,750,968.33/7,871.32
  6. Step 6: Final answer
    x = 7,209.84

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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.