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Finding the Fourth Proportional to 4,751.52, 7,129.68 and 2,154

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Solution

The fourth proportional to 4,751.52, 7,129.68 and 2,154 is: 3,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.52 : 7,129.68 = 2,154 : x
  2. Step 2: Convert to fraction form
    4,751.52/7,129.68 = 2,154/x
  3. Step 3: Cross multiply
    4,751.52x = 7,129.68 × 2,154
  4. Step 4: Simplify right side
    4,751.52x = 15,357,330.72
  5. Step 5: Solve for x
    x = 15,357,330.72/4,751.52
  6. Step 6: Final answer
    x = 3,232.09

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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.