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Finding the Fourth Proportional to 3,875.76, 5,349.76 and 2,478.52

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Solution

The fourth proportional to 3,875.76, 5,349.76 and 2,478.52 is: 3,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.76 : 5,349.76 = 2,478.52 : x
  2. Step 2: Convert to fraction form
    3,875.76/5,349.76 = 2,478.52/x
  3. Step 3: Cross multiply
    3,875.76x = 5,349.76 × 2,478.52
  4. Step 4: Simplify right side
    3,875.76x = 13,259,487.16
  5. Step 5: Solve for x
    x = 13,259,487.16/3,875.76
  6. Step 6: Final answer
    x = 3,421.13

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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.