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Finding the Fourth Proportional to 2,904.34, 4,007.98 and 1,645.40

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Solution

The fourth proportional to 2,904.34, 4,007.98 and 1,645.40 is: 2,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.34 : 4,007.98 = 1,645.40 : x
  2. Step 2: Convert to fraction form
    2,904.34/4,007.98 = 1,645.40/x
  3. Step 3: Cross multiply
    2,904.34x = 4,007.98 × 1,645.40
  4. Step 4: Simplify right side
    2,904.34x = 6,594,714.08
  5. Step 5: Solve for x
    x = 6,594,714.08/2,904.34
  6. Step 6: Final answer
    x = 2,270.64

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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.