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Finding the Fourth Proportional to 4,669.72, 7,004.98 and 2,478.40

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Solution

The fourth proportional to 4,669.72, 7,004.98 and 2,478.40 is: 3,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.72 : 7,004.98 = 2,478.40 : x
  2. Step 2: Convert to fraction form
    4,669.72/7,004.98 = 2,478.40/x
  3. Step 3: Cross multiply
    4,669.72x = 7,004.98 × 2,478.40
  4. Step 4: Simplify right side
    4,669.72x = 17,361,128.02
  5. Step 5: Solve for x
    x = 17,361,128.02/4,669.72
  6. Step 6: Final answer
    x = 3,717.81

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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.