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Finding the Fourth Proportional to 4,713.64, 7,071.75 and 1,426.86

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Solution

The fourth proportional to 4,713.64, 7,071.75 and 1,426.86 is: 2,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.64 : 7,071.75 = 1,426.86 : x
  2. Step 2: Convert to fraction form
    4,713.64/7,071.75 = 1,426.86/x
  3. Step 3: Cross multiply
    4,713.64x = 7,071.75 × 1,426.86
  4. Step 4: Simplify right side
    4,713.64x = 10,090,397.21
  5. Step 5: Solve for x
    x = 10,090,397.21/4,713.64
  6. Step 6: Final answer
    x = 2,140.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.