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Finding the Fourth Proportional to 20,510.16, 30,773.76 and 9,831.12

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Solution

The fourth proportional to 20,510.16, 30,773.76 and 9,831.12 is: 14,750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510.16 : 30,773.76 = 9,831.12 : x
  2. Step 2: Convert to fraction form
    20,510.16/30,773.76 = 9,831.12/x
  3. Step 3: Cross multiply
    20,510.16x = 30,773.76 × 9,831.12
  4. Step 4: Simplify right side
    20,510.16x = 302,540,527.41
  5. Step 5: Solve for x
    x = 302,540,527.41/20,510.16
  6. Step 6: Final answer
    x = 14,750.76

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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.