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Finding the Fourth Proportional to 3,848.64, 5,769.12 and 1,656

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Solution

The fourth proportional to 3,848.64, 5,769.12 and 1,656 is: 2,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.64 : 5,769.12 = 1,656 : x
  2. Step 2: Convert to fraction form
    3,848.64/5,769.12 = 1,656/x
  3. Step 3: Cross multiply
    3,848.64x = 5,769.12 × 1,656
  4. Step 4: Simplify right side
    3,848.64x = 9,553,662.72
  5. Step 5: Solve for x
    x = 9,553,662.72/3,848.64
  6. Step 6: Final answer
    x = 2,482.35

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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.