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Finding the Fourth Proportional to 4,748.63, 7,123.14 and 1,285.88

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Solution

The fourth proportional to 4,748.63, 7,123.14 and 1,285.88 is: 1,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.63 : 7,123.14 = 1,285.88 : x
  2. Step 2: Convert to fraction form
    4,748.63/7,123.14 = 1,285.88/x
  3. Step 3: Cross multiply
    4,748.63x = 7,123.14 × 1,285.88
  4. Step 4: Simplify right side
    4,748.63x = 9,159,467.65
  5. Step 5: Solve for x
    x = 9,159,467.65/4,748.63
  6. Step 6: Final answer
    x = 1,928.87

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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.