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Finding the Fourth Proportional to 4,965.52, 7,447.64 and 1,678.48

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Solution

The fourth proportional to 4,965.52, 7,447.64 and 1,678.48 is: 2,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.52 : 7,447.64 = 1,678.48 : x
  2. Step 2: Convert to fraction form
    4,965.52/7,447.64 = 1,678.48/x
  3. Step 3: Cross multiply
    4,965.52x = 7,447.64 × 1,678.48
  4. Step 4: Simplify right side
    4,965.52x = 12,500,714.79
  5. Step 5: Solve for x
    x = 12,500,714.79/4,965.52
  6. Step 6: Final answer
    x = 2,517.50

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1.5x scale

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.