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Finding the Fourth Proportional to 30,952.40, 46,423.20 and 11,220.80

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Solution

The fourth proportional to 30,952.40, 46,423.20 and 11,220.80 is: 16,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.40 : 46,423.20 = 11,220.80 : x
  2. Step 2: Convert to fraction form
    30,952.40/46,423.20 = 11,220.80/x
  3. Step 3: Cross multiply
    30,952.40x = 46,423.20 × 11,220.80
  4. Step 4: Simplify right side
    30,952.40x = 520,905,442.56
  5. Step 5: Solve for x
    x = 520,905,442.56/30,952.40
  6. Step 6: Final answer
    x = 16,829.24

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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.