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Finding the Fourth Proportional to 11,605.71, 16,020.05 and 6,890.00

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Solution

The fourth proportional to 11,605.71, 16,020.05 and 6,890.00 is: 9,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.71 : 16,020.05 = 6,890.00 : x
  2. Step 2: Convert to fraction form
    11,605.71/16,020.05 = 6,890.00/x
  3. Step 3: Cross multiply
    11,605.71x = 16,020.05 × 6,890.00
  4. Step 4: Simplify right side
    11,605.71x = 110,378,029.95
  5. Step 5: Solve for x
    x = 110,378,029.95/11,605.71
  6. Step 6: Final answer
    x = 9,510.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.