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Finding the Fourth Proportional to 21,870.68, 32,806.53 and 7,831.68

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Solution

The fourth proportional to 21,870.68, 32,806.53 and 7,831.68 is: 11,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870.68 : 32,806.53 = 7,831.68 : x
  2. Step 2: Convert to fraction form
    21,870.68/32,806.53 = 7,831.68/x
  3. Step 3: Cross multiply
    21,870.68x = 32,806.53 × 7,831.68
  4. Step 4: Simplify right side
    21,870.68x = 256,930,244.87
  5. Step 5: Solve for x
    x = 256,930,244.87/21,870.68
  6. Step 6: Final answer
    x = 11,747.70

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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.