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Finding the Fourth Proportional to 4,619.28, 6,953.61 and 4,143

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Solution

The fourth proportional to 4,619.28, 6,953.61 and 4,143 is: 6,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619.28 : 6,953.61 = 4,143 : x
  2. Step 2: Convert to fraction form
    4,619.28/6,953.61 = 4,143/x
  3. Step 3: Cross multiply
    4,619.28x = 6,953.61 × 4,143
  4. Step 4: Simplify right side
    4,619.28x = 28,808,806.23
  5. Step 5: Solve for x
    x = 28,808,806.23/4,619.28
  6. Step 6: Final answer
    x = 6,236.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.