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Finding the Fourth Proportional to 2,973.68, 4,460.84 and 1,218.32

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Solution

The fourth proportional to 2,973.68, 4,460.84 and 1,218.32 is: 1,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.68 : 4,460.84 = 1,218.32 : x
  2. Step 2: Convert to fraction form
    2,973.68/4,460.84 = 1,218.32/x
  3. Step 3: Cross multiply
    2,973.68x = 4,460.84 × 1,218.32
  4. Step 4: Simplify right side
    2,973.68x = 5,434,730.59
  5. Step 5: Solve for x
    x = 5,434,730.59/2,973.68
  6. Step 6: Final answer
    x = 1,827.61

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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.