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Finding the Fourth Proportional to 19,760.96, 29,640.16 and 7,448.64

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Solution

The fourth proportional to 19,760.96, 29,640.16 and 7,448.64 is: 11,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760.96 : 29,640.16 = 7,448.64 : x
  2. Step 2: Convert to fraction form
    19,760.96/29,640.16 = 7,448.64/x
  3. Step 3: Cross multiply
    19,760.96x = 29,640.16 × 7,448.64
  4. Step 4: Simplify right side
    19,760.96x = 220,778,881.38
  5. Step 5: Solve for x
    x = 220,778,881.38/19,760.96
  6. Step 6: Final answer
    x = 11,172.48

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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.