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Finding the Fourth Proportional to 13,209.66, 19,832.09 and 7,666.99

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Solution

The fourth proportional to 13,209.66, 19,832.09 and 7,666.99 is: 11,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.66 : 19,832.09 = 7,666.99 : x
  2. Step 2: Convert to fraction form
    13,209.66/19,832.09 = 7,666.99/x
  3. Step 3: Cross multiply
    13,209.66x = 19,832.09 × 7,666.99
  4. Step 4: Simplify right side
    13,209.66x = 152,052,435.71
  5. Step 5: Solve for x
    x = 152,052,435.71/13,209.66
  6. Step 6: Final answer
    x = 11,510.70

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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.