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Finding the Fourth Proportional to 29,287.40, 40,409.70 and 16,716.20

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Solution

The fourth proportional to 29,287.40, 40,409.70 and 16,716.20 is: 23,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,287.40 : 40,409.70 = 16,716.20 : x
  2. Step 2: Convert to fraction form
    29,287.40/40,409.70 = 16,716.20/x
  3. Step 3: Cross multiply
    29,287.40x = 40,409.70 × 16,716.20
  4. Step 4: Simplify right side
    29,287.40x = 675,496,627.14
  5. Step 5: Solve for x
    x = 675,496,627.14/29,287.40
  6. Step 6: Final answer
    x = 23,064.41

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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.