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Finding the Fourth Proportional to 4,863.78, 7,283.98 and 2,777.47

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Solution

The fourth proportional to 4,863.78, 7,283.98 and 2,777.47 is: 4,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.78 : 7,283.98 = 2,777.47 : x
  2. Step 2: Convert to fraction form
    4,863.78/7,283.98 = 2,777.47/x
  3. Step 3: Cross multiply
    4,863.78x = 7,283.98 × 2,777.47
  4. Step 4: Simplify right side
    4,863.78x = 20,230,999.51
  5. Step 5: Solve for x
    x = 20,230,999.51/4,863.78
  6. Step 6: Final answer
    x = 4,159.52

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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.