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Finding the Fourth Proportional to 30,609.28, 45,912.30 and 9,831.16

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Solution

The fourth proportional to 30,609.28, 45,912.30 and 9,831.16 is: 14,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.28 : 45,912.30 = 9,831.16 : x
  2. Step 2: Convert to fraction form
    30,609.28/45,912.30 = 9,831.16/x
  3. Step 3: Cross multiply
    30,609.28x = 45,912.30 × 9,831.16
  4. Step 4: Simplify right side
    30,609.28x = 451,371,167.27
  5. Step 5: Solve for x
    x = 451,371,167.27/30,609.28
  6. Step 6: Final answer
    x = 14,746.22

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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.