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Finding the Fourth Proportional to 7,852.28, 10,845.74 and 5,871.64

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Solution

The fourth proportional to 7,852.28, 10,845.74 and 5,871.64 is: 8,110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.28 : 10,845.74 = 5,871.64 : x
  2. Step 2: Convert to fraction form
    7,852.28/10,845.74 = 5,871.64/x
  3. Step 3: Cross multiply
    7,852.28x = 10,845.74 × 5,871.64
  4. Step 4: Simplify right side
    7,852.28x = 63,682,280.81
  5. Step 5: Solve for x
    x = 63,682,280.81/7,852.28
  6. Step 6: Final answer
    x = 8,110.04

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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.