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Finding the Fourth Proportional to 3,009, 4,152.50 and 1,682.93

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Solution

The fourth proportional to 3,009, 4,152.50 and 1,682.93 is: 2,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009 : 4,152.50 = 1,682.93 : x
  2. Step 2: Convert to fraction form
    3,009/4,152.50 = 1,682.93/x
  3. Step 3: Cross multiply
    3,009x = 4,152.50 × 1,682.93
  4. Step 4: Simplify right side
    3,009x = 6,988,366.83
  5. Step 5: Solve for x
    x = 6,988,366.83/3,009
  6. Step 6: Final answer
    x = 2,322.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.