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Finding the Fourth Proportional to 13,598.89, 20,399.24 and 4,831.45

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Solution

The fourth proportional to 13,598.89, 20,399.24 and 4,831.45 is: 7,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.89 : 20,399.24 = 4,831.45 : x
  2. Step 2: Convert to fraction form
    13,598.89/20,399.24 = 4,831.45/x
  3. Step 3: Cross multiply
    13,598.89x = 20,399.24 × 4,831.45
  4. Step 4: Simplify right side
    13,598.89x = 98,557,869.18
  5. Step 5: Solve for x
    x = 98,557,869.18/13,598.89
  6. Step 6: Final answer
    x = 7,247.50

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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.