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Finding the Fourth Proportional to 9,911.70, 14,842.89 and 8,275.50

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Solution

The fourth proportional to 9,911.70, 14,842.89 and 8,275.50 is: 12,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.70 : 14,842.89 = 8,275.50 : x
  2. Step 2: Convert to fraction form
    9,911.70/14,842.89 = 8,275.50/x
  3. Step 3: Cross multiply
    9,911.70x = 14,842.89 × 8,275.50
  4. Step 4: Simplify right side
    9,911.70x = 122,832,336.20
  5. Step 5: Solve for x
    x = 122,832,336.20/9,911.70
  6. Step 6: Final answer
    x = 12,392.66

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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.