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Finding the Fourth Proportional to 4,978.16, 6,871.08 and 3,856.88

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Solution

The fourth proportional to 4,978.16, 6,871.08 and 3,856.88 is: 5,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.16 : 6,871.08 = 3,856.88 : x
  2. Step 2: Convert to fraction form
    4,978.16/6,871.08 = 3,856.88/x
  3. Step 3: Cross multiply
    4,978.16x = 6,871.08 × 3,856.88
  4. Step 4: Simplify right side
    4,978.16x = 26,500,931.03
  5. Step 5: Solve for x
    x = 26,500,931.03/4,978.16
  6. Step 6: Final answer
    x = 5,323.44

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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.