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Finding the Fourth Proportional to 8,276.76, 11,421.42 and 4,739.16

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Solution

The fourth proportional to 8,276.76, 11,421.42 and 4,739.16 is: 6,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.76 : 11,421.42 = 4,739.16 : x
  2. Step 2: Convert to fraction form
    8,276.76/11,421.42 = 4,739.16/x
  3. Step 3: Cross multiply
    8,276.76x = 11,421.42 × 4,739.16
  4. Step 4: Simplify right side
    8,276.76x = 54,127,936.81
  5. Step 5: Solve for x
    x = 54,127,936.81/8,276.76
  6. Step 6: Final answer
    x = 6,539.75

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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.