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Finding the Fourth Proportional to 4,847.16, 7,272 and 1,384.68

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Solution

The fourth proportional to 4,847.16, 7,272 and 1,384.68 is: 2,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.16 : 7,272 = 1,384.68 : x
  2. Step 2: Convert to fraction form
    4,847.16/7,272 = 1,384.68/x
  3. Step 3: Cross multiply
    4,847.16x = 7,272 × 1,384.68
  4. Step 4: Simplify right side
    4,847.16x = 10,069,392.96
  5. Step 5: Solve for x
    x = 10,069,392.96/4,847.16
  6. Step 6: Final answer
    x = 2,077.38

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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.