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Finding the Fourth Proportional to 3,875.73, 5,349.74 and 2,478.48

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Solution

The fourth proportional to 3,875.73, 5,349.74 and 2,478.48 is: 3,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.73 : 5,349.74 = 2,478.48 : x
  2. Step 2: Convert to fraction form
    3,875.73/5,349.74 = 2,478.48/x
  3. Step 3: Cross multiply
    3,875.73x = 5,349.74 × 2,478.48
  4. Step 4: Simplify right side
    3,875.73x = 13,259,211.20
  5. Step 5: Solve for x
    x = 13,259,211.20/3,875.73
  6. Step 6: Final answer
    x = 3,421.09

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1.5x scale

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.