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Finding the Fourth Proportional to 11,182.40, 16,730.40 and 7,294.40

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Solution

The fourth proportional to 11,182.40, 16,730.40 and 7,294.40 is: 10,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.40 : 16,730.40 = 7,294.40 : x
  2. Step 2: Convert to fraction form
    11,182.40/16,730.40 = 7,294.40/x
  3. Step 3: Cross multiply
    11,182.40x = 16,730.40 × 7,294.40
  4. Step 4: Simplify right side
    11,182.40x = 122,038,229.76
  5. Step 5: Solve for x
    x = 122,038,229.76/11,182.40
  6. Step 6: Final answer
    x = 10,913.42

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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.