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Finding the Fourth Proportional to 4,856.76, 7,287 and 2,907.84

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Solution

The fourth proportional to 4,856.76, 7,287 and 2,907.84 is: 4,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.76 : 7,287 = 2,907.84 : x
  2. Step 2: Convert to fraction form
    4,856.76/7,287 = 2,907.84/x
  3. Step 3: Cross multiply
    4,856.76x = 7,287 × 2,907.84
  4. Step 4: Simplify right side
    4,856.76x = 21,189,430.08
  5. Step 5: Solve for x
    x = 21,189,430.08/4,856.76
  6. Step 6: Final answer
    x = 4,362.87

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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.