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Finding the Fourth Proportional to 19,887.72, 29,831.04 and 5,096.04

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Solution

The fourth proportional to 19,887.72, 29,831.04 and 5,096.04 is: 7,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,887.72 : 29,831.04 = 5,096.04 : x
  2. Step 2: Convert to fraction form
    19,887.72/29,831.04 = 5,096.04/x
  3. Step 3: Cross multiply
    19,887.72x = 29,831.04 × 5,096.04
  4. Step 4: Simplify right side
    19,887.72x = 152,020,173.08
  5. Step 5: Solve for x
    x = 152,020,173.08/19,887.72
  6. Step 6: Final answer
    x = 7,643.92

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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.