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Finding the Fourth Proportional to 22,971.99, 31,699.12 and 12,898.49

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Solution

The fourth proportional to 22,971.99, 31,699.12 and 12,898.49 is: 17,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.99 : 31,699.12 = 12,898.49 : x
  2. Step 2: Convert to fraction form
    22,971.99/31,699.12 = 12,898.49/x
  3. Step 3: Cross multiply
    22,971.99x = 31,699.12 × 12,898.49
  4. Step 4: Simplify right side
    22,971.99x = 408,870,717.84
  5. Step 5: Solve for x
    x = 408,870,717.84/22,971.99
  6. Step 6: Final answer
    x = 17,798.66

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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.