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Finding the Fourth Proportional to 3,478.64, 5,210.64 and 2,501.78

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Solution

The fourth proportional to 3,478.64, 5,210.64 and 2,501.78 is: 3,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.64 : 5,210.64 = 2,501.78 : x
  2. Step 2: Convert to fraction form
    3,478.64/5,210.64 = 2,501.78/x
  3. Step 3: Cross multiply
    3,478.64x = 5,210.64 × 2,501.78
  4. Step 4: Simplify right side
    3,478.64x = 13,035,848.89
  5. Step 5: Solve for x
    x = 13,035,848.89/3,478.64
  6. Step 6: Final answer
    x = 3,747.40

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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.