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Finding the Fourth Proportional to 11,300.70, 16,951.05 and 9,113.70

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Solution

The fourth proportional to 11,300.70, 16,951.05 and 9,113.70 is: 13,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.70 : 16,951.05 = 9,113.70 : x
  2. Step 2: Convert to fraction form
    11,300.70/16,951.05 = 9,113.70/x
  3. Step 3: Cross multiply
    11,300.70x = 16,951.05 × 9,113.70
  4. Step 4: Simplify right side
    11,300.70x = 154,486,784.39
  5. Step 5: Solve for x
    x = 154,486,784.39/11,300.70
  6. Step 6: Final answer
    x = 13,670.55

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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.