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Finding the Fourth Proportional to 22,920.40, 34,406.20 and 21,416.40

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Solution

The fourth proportional to 22,920.40, 34,406.20 and 21,416.40 is: 32,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,920.40 : 34,406.20 = 21,416.40 : x
  2. Step 2: Convert to fraction form
    22,920.40/34,406.20 = 21,416.40/x
  3. Step 3: Cross multiply
    22,920.40x = 34,406.20 × 21,416.40
  4. Step 4: Simplify right side
    22,920.40x = 736,856,941.68
  5. Step 5: Solve for x
    x = 736,856,941.68/22,920.40
  6. Step 6: Final answer
    x = 32,148.52

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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.