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Finding the Fourth Proportional to 4,812.64, 6,638.16 and 4,320.16

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Solution

The fourth proportional to 4,812.64, 6,638.16 and 4,320.16 is: 5,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.64 : 6,638.16 = 4,320.16 : x
  2. Step 2: Convert to fraction form
    4,812.64/6,638.16 = 4,320.16/x
  3. Step 3: Cross multiply
    4,812.64x = 6,638.16 × 4,320.16
  4. Step 4: Simplify right side
    4,812.64x = 28,677,913.31
  5. Step 5: Solve for x
    x = 28,677,913.31/4,812.64
  6. Step 6: Final answer
    x = 5,958.87

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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.