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Finding the Fourth Proportional to 30,609.50, 45,911.00 and 9,831.38

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Solution

The fourth proportional to 30,609.50, 45,911.00 and 9,831.38 is: 14,746.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.50 : 45,911.00 = 9,831.38 : x
  2. Step 2: Convert to fraction form
    30,609.50/45,911.00 = 9,831.38/x
  3. Step 3: Cross multiply
    30,609.50x = 45,911.00 × 9,831.38
  4. Step 4: Simplify right side
    30,609.50x = 451,368,282.20
  5. Step 5: Solve for x
    x = 451,368,282.20/30,609.50
  6. Step 6: Final answer
    x = 14,746.02

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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.