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Finding the Fourth Proportional to 30,880.40, 46,311 and 11,156.40

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Solution

The fourth proportional to 30,880.40, 46,311 and 11,156.40 is: 16,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.40 : 46,311 = 11,156.40 : x
  2. Step 2: Convert to fraction form
    30,880.40/46,311 = 11,156.40/x
  3. Step 3: Cross multiply
    30,880.40x = 46,311 × 11,156.40
  4. Step 4: Simplify right side
    30,880.40x = 516,664,040.40
  5. Step 5: Solve for x
    x = 516,664,040.40/30,880.40
  6. Step 6: Final answer
    x = 16,731.13

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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.