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Finding the Fourth Proportional to 12,980.99, 19,471.58 and 4,661.09

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Solution

The fourth proportional to 12,980.99, 19,471.58 and 4,661.09 is: 6,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.99 : 19,471.58 = 4,661.09 : x
  2. Step 2: Convert to fraction form
    12,980.99/19,471.58 = 4,661.09/x
  3. Step 3: Cross multiply
    12,980.99x = 19,471.58 × 4,661.09
  4. Step 4: Simplify right side
    12,980.99x = 90,758,666.16
  5. Step 5: Solve for x
    x = 90,758,666.16/12,980.99
  6. Step 6: Final answer
    x = 6,991.66

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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.