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Finding the Fourth Proportional to 4,548.63, 6,823.24 and 1,428.76

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Solution

The fourth proportional to 4,548.63, 6,823.24 and 1,428.76 is: 2,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.63 : 6,823.24 = 1,428.76 : x
  2. Step 2: Convert to fraction form
    4,548.63/6,823.24 = 1,428.76/x
  3. Step 3: Cross multiply
    4,548.63x = 6,823.24 × 1,428.76
  4. Step 4: Simplify right side
    4,548.63x = 9,748,772.38
  5. Step 5: Solve for x
    x = 9,748,772.38/4,548.63
  6. Step 6: Final answer
    x = 2,143.23

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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.