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Finding the Fourth Proportional to 4,748.64, 7,122.12 and 1,286.16

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Solution

The fourth proportional to 4,748.64, 7,122.12 and 1,286.16 is: 1,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.64 : 7,122.12 = 1,286.16 : x
  2. Step 2: Convert to fraction form
    4,748.64/7,122.12 = 1,286.16/x
  3. Step 3: Cross multiply
    4,748.64x = 7,122.12 × 1,286.16
  4. Step 4: Simplify right side
    4,748.64x = 9,160,185.86
  5. Step 5: Solve for x
    x = 9,160,185.86/4,748.64
  6. Step 6: Final answer
    x = 1,929.01

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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.