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Finding the Fourth Proportional to 4,545, 6,818.56 and 1,424.84

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Solution

The fourth proportional to 4,545, 6,818.56 and 1,424.84 is: 2,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545 : 6,818.56 = 1,424.84 : x
  2. Step 2: Convert to fraction form
    4,545/6,818.56 = 1,424.84/x
  3. Step 3: Cross multiply
    4,545x = 6,818.56 × 1,424.84
  4. Step 4: Simplify right side
    4,545x = 9,715,319.38
  5. Step 5: Solve for x
    x = 9,715,319.38/4,545
  6. Step 6: Final answer
    x = 2,137.58

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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.