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Finding the Fourth Proportional to 23,101.68, 31,879.68 and 13,030.05

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Solution

The fourth proportional to 23,101.68, 31,879.68 and 13,030.05 is: 17,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.68 : 31,879.68 = 13,030.05 : x
  2. Step 2: Convert to fraction form
    23,101.68/31,879.68 = 13,030.05/x
  3. Step 3: Cross multiply
    23,101.68x = 31,879.68 × 13,030.05
  4. Step 4: Simplify right side
    23,101.68x = 415,393,824.38
  5. Step 5: Solve for x
    x = 415,393,824.38/23,101.68
  6. Step 6: Final answer
    x = 17,981.11

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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.